Exercise 10.1 (NCERT) - Circles, Class 10
| Chapter 10 | Exercise 10.1 | Class 10 |
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Below are the Quick links for all questions of Exercise 10.1, Circles, Class 10.
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Below are the solutions of every question of exercise 10.1 of chapter 10, Circles, NCERT of class 10. YouTube video tutorial of every question is also embedded along with the written solution.
Question 1
How many tangents can a circle have?
Infinitely many.
Reason: There are infinitely many points on the circumference of a circle. Hence infinitely many tangents.
Still confused? Watch the video.
Question 2
Fill in the blanks :
(i) A tangent to a circle intersects it in 1 point (s).
(iii) A line intersecting a circle in two points is called a secant.
(ii) A circle can have 2 parallel tangents at the most.
(iv) The common point of a tangent to a circle and the circle is called point of contact.
Question 3
A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that OQ = 12 cm. Length PQ is :
(A) 12 cm (B) 13 cm (C) 8.5 cm (D) √119 cm.
OP = 5 cm (radius)
OQ = 12 cm
Since PQ is a tangent to the circle at P
∠OPQ = 90
In right triangle OPQ, apply the Pythagoras Theorem
Question 4
Draw a circle and two lines parallel to a given line such that one is a tangent and the other, a secant to the circle.
You need to watch the video 😉