16
Sep
Class 9 | Chapter 7 | Triangles | Example 4
Example 4: In ∆ ABC, the bisector AD of ∠ A is perpendicular to side BC (see Fig. 7.27). Show that AB = AC and ∆ ABC is isosceles. Example 3 Example 5
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16
Sep
Class 9 | Chapter 7 | Triangles | Example 3
Example 3: Line-segment AB is parallel to another line-segment CD. O is the mid-point of AD (see Fig. 7.15). Show that (i) ∆AOB ≅ ∆DOC (ii) O is also the mid-point of BC. Example 2 Example 4
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16
Sep
Class 9 | Chapter 7 | Triangles | Example 2 | Perpendicular bisector theorem
Example 2: AB is a line segment and line l is its perpendicular bisector. If a point P lies on l, show that P is equidistant from A and B. Example 1 Example 3
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16
Sep
Class 9 | Chapter 7 | Triangles | Example 1
Example 1: In Fig. 7.8, OA = OB and OD = OC. Show that (i) ∆ AOD ≅ ∆ BOC and (ii) AD || BC. Class 9 | Home Example 2
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16
Sep
Class 9 | Chapter 2 | Polynomials | Factor theorem
Factor theorem: If p(x) is a polynomial of degree n > 1 and a is any real number, then (i) x – a is a factor of p(x), if p(a) = 0, and (ii) p(a) = 0, if x –…
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15
Sep
Class 9 | Chapter 2 | Polynomials | Exercise 2.3 | Question 1
Question 1: Find the remainder when x3 + 3×2 + 3x + 1 is divided by (i) x + 1 (ii) x – 1/2 (iii) x (iv) x + π (v) 5 + 2x Ex: 2.2 | Question 4 Question…
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15
Sep
Class 9 | Chapter 2 | Polynomials | Exercise 2.3 | Question 3
Question 3: Check whether 7 + 3x is a factor of 3×3 + 7x. Question 2 Ex: 2.4 | Question 1 Prerequisite X is a factor of Y if X divides Y completely. This means, dividing Y by X should…
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15
Sep
Class 9 | Chapter 2 | Polynomials | Exercise 2.3 | Question 2
Question 2: Find the remainder when x3 – ax2 + 6x – a is divided by x – a. Question 1 Question 3 Prerequisite It is a direct application of remainder theorem. Remainder theorem
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15
Sep
Class 9 | Chapter 2 | Polynomials | Example 10
Example 10: Check whether the polynomial q(t) = 4t3 + 4t2 – t – 1 is a multiple of 2t + 1. Example 9 Example 11 Prerequisite Factor theorem
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15
Sep
Class 9 | Chapter 2 | Polynomials | Example 9
Example 9: Find the remainder when x4 + x3 – 2×2 + x + 1 is divided by x – 1. Example 8 Example 10 Prerequisite Remainder theorem
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