Maths · Geometry · chapter 10 of 14
Class 10 Maths Chapter 10: Circles Assertion-reason questions with answers
2 assertion-reason questions on Circles, each with its answer and the reason, written from the NCERT chapter. Open a question's solution to check your working; then take the free test to find your next chapter. Each question gives an Assertion (A) and a Reason (R); choose how they stand to each other.
Question 1
Assertion (A): P is the point of contact of a tangent to a circle with centre O, and Q is any other point on the tangent. Then OQ > OP. Reason (R): Every point of the tangent other than the point of contact lies outside the circle.
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Answer: (a) Both A and R are true, and R is the correct explanation of A.
Since Q lies outside the circle, OQ is greater than the radius OP; R is exactly why A holds.
Question 2
Assertion (A): From a point 17 cm from the centre of a circle of radius 8 cm, each of the two tangents is 15 cm long. Reason (R): A circle has infinitely many tangents.
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Answer: (b) Both A and R are true, but R is not the correct explanation of A.
A is true: √(17² − 8²) = 15. R is true, but the count of all tangents says nothing about the length 15 cm.
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