coordinate geometry Archives – Mathemafia http://sh016.global.temp.domains/~mathemaf/tag/coordinate-geometry/ Mathematics is like music - Enjoy it!!! Thu, 05 Jun 2025 11:47:38 +0000 en-US hourly 1 https://wordpress.org/?v=7.0 https://mathemafia.com/wp-content/uploads/2020/08/cropped-M__Logo__SM-1-32x32.png coordinate geometry Archives – Mathemafia http://sh016.global.temp.domains/~mathemaf/tag/coordinate-geometry/ 32 32 Exercise 7.2 (NCERT) – Coordinate Geometry, Class 10 – All Solutions https://mathemafia.com/exercise-7-2-ncert-coordinate-geometry-class-10-all-solutions/ Thu, 05 Jun 2025 11:43:15 +0000 https://mathemafia.com/?p=19381 Exercise 7.2, chapter 7, Coordinate Geometry, Class 10 - Complete solutions of all questions of first exercise of chapter 7, class 10, Coordinate Geometry. All questions are solved using easy readable mathematical notations.

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Exercise 7.2 (NCERT) – Coordinate Geometry, Class 10

Chapter 7 Exercise 7.2 Class 10

Below are the Quick links for all questions of Exercise 7.2, Coordinate Geometry, Class 10. Click a link to view the solution of corresponding question.

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Below are the solutions of every question of exercise 7.2 of chapter 7, Coordinate Geometry, NCERT of class 10. YouTube video tutorial of every question is also embedded along with the written solution.  

Question 1

Find the coordinates of the point which divides the join of (–1, 7) and (4, –3) in the ratio 2 : 3.

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Complete Chapter – Video Tutorial

Question 2

Find the coordinates of the points of trisection of the line segment joining (4, –1) and (–2, –3).

Let the given points be A(4, -1) and B(-2, -3).

We want to find the points of trisection of AB.

Let P and Q be the points dividing AB in the ratio 1:2 and 2:1 respectively.

Using section formula
If P divides the line joining A(x1, y1) and B(x2, y2) in ratio m:n

Question 3

To conduct Sports Day activities, in your rectangular shaped school ground ABCD, lines have been drawn with chalk powder at a distance of 1m each. 100 flower pots have been placed at a distance of 1m from each other along AD, as shown 1 in Fig. 7.12. Niharika runs 1/4 th the distance AD on the 2nd line and posts a green flag. Preet runs 1/5 th the distance AD on the eighth line and posts a red flag. What is the distance between both the flags? If Rashmi has to post a blue flag exactly halfway between the line segment joining the two flags, where should she post her flag?

Given

AD = 100m (since 100 pots placed 1 m apart)

Distance between flags G and R

Midpoint (M) coordinates where Rashmi posts the blue flag

Question 4

Find the ratio in which the line segment joining the points (– 3, 10) and (6, – 8) is divided by (– 1, 6).

Question 5

Find the ratio in which the line segment joining A(1, – 5) and B(– 4, 5) is divided by the x-axis. Also find the coordinates of the point of division.

Question 6

If (1, 2), (4, y), (x, 6) and (3, 5) are the vertices of a parallelogram taken in order, find x and y.

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Question 7

Find the coordinates of a point A, where AB is the diameter of a circle whose centre is (2, – 3) and B is (1, 4).

Question 8

If A and B are (– 2, – 2) and (2, – 4), respectively, find the coordinates of P such that AP = 3/7 AB and P lies on the line segment AB.

Question 9

Find the coordinates of the points which divide the line segment joining A(– 2, 2) and B(2, 8) into four equal parts.

Question 10

Find the area of a rhombus if its vertices are (3, 0), (4, 5), (– 1, 4) and (– 2, – 1) taken in order.

[Hint : Area of a rhombus = (product of its diagonals)/2]

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]]> Exercise 7.1 (NCERT) – Coordinate Geometry, Class 10 – All Solutions https://mathemafia.com/exercise-7-1-ncert-coordinate-geometry-class-10-all-solutions/ Sat, 10 May 2025 12:35:12 +0000 https://mathemafia.com/?p=19277 Exercise 7.1, chapter 7, Coordinate Geometry, Class 10 - Complete solutions of all questions of first exercise of chapter 7, class 10, Coordinate Geometry. All questions are solved using easy readable mathematical notations.

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Exercise 7.1 (NCERT) – Coordinate Geometry, Class 10

Chapter 7 Exercise 7.1 Class 10

Below are the Quick links for all questions of Exercise 7.1, Coordinate Geometry, Class 10. Click a link to view the solution of corresponding question.

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Below are the solutions of every question of exercise 7.1 of chapter 7, Coordinate Geometry, NCERT of class 10. YouTube video tutorial of every question is also embedded along with the written solution.  

Question 1

Find the distance between the following pairs of points :

(i) (2, 3), (4, 1)

(ii) (– 5, 7), (– 1, 3)

(iii) (a, b), (– a, – b)

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Complete Chapter – Video Tutorial

Question 2

Find the distance between the points (0, 0) and (36, 15). Can you now find the distance between the two towns A and B discussed in Section 7.2.

The problem given in section 7.2 has the same solution. Watch the video to know more about it. 

Question 3

Determine if the points (1, 5), (2, 3) and (– 2, – 11) are collinear.

Question 4

Check whether (5, – 2), (6, 4) and (7, – 2) are the vertices of an isosceles triangle.

Since two sides are equal, the triangle is isosceles.

Question 5

In a classroom, 4 friends are seated at the points A, B, C and D as shown in Fig. 7.8. Champa and Chameli walk into the class and after observing for a few minutes Champa asks Chameli, “Don’t you think ABCD is a square?” Chameli disagrees. Using distance formula, find which of them is correct.

Question 6

Name the type of quadrilateral formed, if any, by the following points, and give reasons for your answer:

(i) (– 1, – 2), (1, 0), (– 1, 2), (– 3, 0)

All sides are equal.

Now, checking the diagonals:

Diagonals are also equal.

Hence it is square.

(ii) (–3, 5), (3, 1), (0, 3), (–1, – 4)

(iii) (4, 5), (7, 6), (4, 3), (1, 2)

Now, checking the diagonals:

Since opposite sides are equal, and the diagonals are not equal, the quadrilateral is a parallelogram.

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Question 7

Find the point on the x-axis which is equidistant from (2, –5) and (–2, 9).

Question 8

Find the values of y for which the distance between the points P(2, – 3) and Q(10, y) is 10 units.

Question 9

If Q(0, 1) is equidistant from P(5, –3) and R(x, 6), find the values of x. Also find the distances QR and PR.

Question 10

Find a relation between x and y such that the point (x, y) is equidistant from the point (3, 6) and (– 3, 4).

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]]> Class 10 | Chapter 7 | All Solutions | Coordinate Geometry https://mathemafia.com/class-10-chapter-07-all-solutions-coordinate-geometry/ Fri, 17 Dec 2021 07:38:20 +0000 http://sh016.global.temp.domains/~mathemaf/?p=7358 This one-shot video covers all the questions, concepts and examples of chapter 7 (Coordinate Geometry) of class 10, NCERT book. Click the thumbnail to watch the tutorial.  Topics it covers: Distance Formula Distance from origin  Collinear points Non-Collinear points Section…

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This one-shot video covers all the questions, concepts and examples of chapter 7 (Coordinate Geometry) of class 10, NCERT book. Click the thumbnail to watch the tutorial. 

Topics it covers:

  • Distance Formula
  • Distance from origin 
  • Collinear points
  • Non-Collinear points
  • Section formula
  • Mid-point formula
  • Alternative of section formula
  • Area of a triangle
  • All Examples
  • Exercise 7.1
  • Exercise 7.2
  • Exercise 7.3
Latest - Coordinate Geometry, Class 10

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]]> Class 9 | Chapter 3 | All Solutions | Coordinate Geometry https://mathemafia.com/class-9-chapter-03-all-solutions-coordinate-geometry/ Thu, 16 Dec 2021 15:33:02 +0000 http://sh016.global.temp.domains/~mathemaf/?p=7182 This playlist covers all the questions, concepts, theorems and examples of chapter 3 (Coordinate Geometry) of class 9, NCERT textbook. Click a thumbnail to watch the tutorial. Watch complete chapter on YouTube

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This playlist covers all the questions, concepts, theorems and examples of chapter 3 (Coordinate Geometry) of class 9, NCERT textbook. Click a thumbnail to watch the tutorial. 

Watch complete chapter on YouTube

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]]> For testing https://mathemafia.com/for-testing/ Mon, 22 Feb 2021 05:28:20 +0000 http://sh016.global.temp.domains/~mathemaf/?p=6313 Testing

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]]> Coordinate Geometry – Introduction https://mathemafia.com/coordinate-geometry-introduction/ Sun, 14 Feb 2021 11:00:46 +0000 http://sh016.global.temp.domains/~mathemaf/?p=6227 Concept: In this video tutorial, you will learn about the basics of coordinate geometry. This is a must watch video tutorial for class 9 students. This video talks about the coordinate / cartesian plane in length with detailed examples. Different…

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Concept: In this video tutorial, you will learn about the basics of coordinate geometry. This is a must watch video tutorial for class 9 students. This video talks about the coordinate / cartesian plane in length with detailed examples. Different elements of coordinate plane like abscissa and ordinate are also explained with simple examples.

x-coordinate is perpendicular distance from y-axis
What is Coordinate Plane

The post Coordinate Geometry – Introduction appeared first on Mathemafia.

]]> What is coordinate plane https://mathemafia.com/what-is-coordinate-plane/ Sun, 14 Feb 2021 10:34:29 +0000 http://sh016.global.temp.domains/~mathemaf/?p=6174 Concept: This video tutorial is about what a Coordinate / Cartesian / XY Plane in Coordinate Geometry is. The concept has been explained with detailed examples. It is a recommended video for class 9 students. x-coordinate is perpendicular distance from…

The post What is coordinate plane appeared first on Mathemafia.

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Concept: This video tutorial is about what a Coordinate / Cartesian / XY Plane in Coordinate Geometry is. The concept has been explained with detailed examples. It is a recommended video for class 9 students.

x-coordinate is perpendicular distance from y-axis
Class 9 | Home

The post What is coordinate plane appeared first on Mathemafia.

]]> x-coordinate is perpendicular distance from y-axis https://mathemafia.com/x-coordinate-is-perpendicular-distance-from-y-axis/ Sun, 14 Feb 2021 10:32:23 +0000 http://sh016.global.temp.domains/~mathemaf/?p=6173 Concept: This video tutorial explains that x-coordinate (abscissa) of a point in a cartesian plane is also its perpendicular distance from the y-axis. Similarly y-coordinate (ordinate) of a point is equal to the perpendicular distance of the point from x-axis.…

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Concept: This video tutorial explains that x-coordinate (abscissa) of a point in a cartesian plane is also its perpendicular distance from the y-axis. Similarly y-coordinate (ordinate) of a point is equal to the perpendicular distance of the point from x-axis.

x-coordinate (abscissa)

Perpendicular distance of the point from y-axis

y-ccordinate (ordinate)

Perpendicular distance of the point from x-axis

Coordinate Geometry - Introduction
What is Coordinate Plane

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]]> Class 9 | Chapter 3 | Coordinate Geometry | Exercise 3.3 | Question 1 & 2 https://mathemafia.com/class-9-chapter-3-coordinate-geometry-exercise-3-3-question-1-2/ Sun, 14 Feb 2021 10:17:04 +0000 http://sh016.global.temp.domains/~mathemaf/?p=6172 Question 1: In which quadrant or on which axis do each of the points (– 2, 4), (3, – 1), (– 1, 0), (1, 2) and (– 3, – 5) lie? Verify your answer by locating them on the Cartesian…

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Question 1: In which quadrant or on which axis do each of the points (– 2, 4), (3, – 1), (– 1, 0), (1, 2) and (– 3, – 5) lie? Verify your answer by locating them on the Cartesian plane.

Question 2: Plot the points (x, y) given in the following table on the plane, choosing suitable units of distance on the axes.

Class 9 - Exercise 3.3 - Question 2

Ex: 3.2 | Question 1 & 2
Class 9 | Home

Concept: This video tutorial is about what a Coordinate / Cartesian / XY Plane in Coordinate Geometry is. The concept has been explained with detailed examples. It is a recommended video for class 9 students.

x-coordinate is perpendicular distance from y-axis
Class 9 | Home

Concept: This video tutorial explains that x-coordinate (abscissa) of a point in a cartesian plane is also its perpendicular distance from the y-axis. Similarly y-coordinate (ordinate) of a point is equal to the perpendicular distance of the point from x-axis.

x-coordinate (abscissa)

Perpendicular distance of the point from y-axis

y-ccordinate (ordinate)

Perpendicular distance of the point from x-axis

Coordinate Geometry – Introduction
What is Coordinate Plane

Concept: In this video tutorial, you will learn about the basics of coordinate geometry. This is a must watch video tutorial for class 9 students. This video talks about the coordinate / cartesian plane in length with detailed examples. Different elements of coordinate plane like abscissa and ordinate are also explained with simple examples.

x-coordinate is perpendicular distance from y-axis
What is Coordinate Plane

Chapter 3 – Coordinate Geometry

This playlist covers all the questions, concepts, theorems and examples of chapter 3 (Coordinate Geometry) of class 9, NCERT textbook. Click a thumbnail to watch the tutorial. 

Watch complete chapter on YouTube
​

Concepts

Must watch – Concepts 

Coordinate Geometry – Introduction

What is coordinate plane

x-coord = Perpendicular distance from y-axiz

Exercise 3.1

Question 1

Question 2

Exercise 3.2

Question 1 & 2

Exercise 3.3

Question 1 & 2

Examples

Activity 1

Question 1 & 2

Question 3 & 4

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]]> Class 9 | Chapter 3 | Coordinate Geometry | Exercise 3.2 | Question 1 & 2 https://mathemafia.com/class-9-chapter-3-coordinate-geometry-exercise-3-2-question-1-2/ Sun, 14 Feb 2021 10:16:31 +0000 http://sh016.global.temp.domains/~mathemaf/?p=6171 Question 1: Write the answer of each of the following questions: What is the name of horizontal and the vertical lines drawn to determine the position of any point in the Cartesian plane? What is the name of each part…

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Question 1: Write the answer of each of the following questions:

  1. What is the name of horizontal and the vertical lines drawn to determine the position of any point in the Cartesian plane?
  2. What is the name of each part of the plane formed by these two lines?
  3. Write the name of the point where these two lines intersect.

Question 2: See Fig.3.14, and write the following:

  1. The coordinates of B.
  2. The coordinates of C.
  3. The point identified by the coordinates (–3,–5).
  4. The point identified by the coordinates (2, – 4).
  5. The abscissa of the point D.
  6. The ordinate of the point H.
  7. The coordinates of the point L.
  8. The coordinates of the point M.

Class 9 - Exercise 3.2 - Question 2

Ex: 3.1 | Question 2
Ex: 3.3 | Question 1 & 2

Concept: This video tutorial is about what a Coordinate / Cartesian / XY Plane in Coordinate Geometry is. The concept has been explained with detailed examples. It is a recommended video for class 9 students.

x-coordinate is perpendicular distance from y-axis
Class 9 | Home

Concept: This video tutorial explains that x-coordinate (abscissa) of a point in a cartesian plane is also its perpendicular distance from the y-axis. Similarly y-coordinate (ordinate) of a point is equal to the perpendicular distance of the point from x-axis.

x-coordinate (abscissa)

Perpendicular distance of the point from y-axis

y-ccordinate (ordinate)

Perpendicular distance of the point from x-axis

Coordinate Geometry – Introduction
What is Coordinate Plane

Concept: In this video tutorial, you will learn about the basics of coordinate geometry. This is a must watch video tutorial for class 9 students. This video talks about the coordinate / cartesian plane in length with detailed examples. Different elements of coordinate plane like abscissa and ordinate are also explained with simple examples.

x-coordinate is perpendicular distance from y-axis
What is Coordinate Plane

Chapter 3 – Coordinate Geometry

This playlist covers all the questions, concepts, theorems and examples of chapter 3 (Coordinate Geometry) of class 9, NCERT textbook. Click a thumbnail to watch the tutorial. 

Watch complete chapter on YouTube
​

Concepts

Must watch – Concepts 

Coordinate Geometry – Introduction

What is coordinate plane

x-coord = Perpendicular distance from y-axiz

Exercise 3.1

Question 1

Question 2

Exercise 3.2

Question 1 & 2

Exercise 3.3

Question 1 & 2

Examples

Activity 1

Question 1 & 2

Question 3 & 4

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