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Circles Practice

Solve chapter-level practice questions for Circles with reveal-only solutions and quick revision support.

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Practice Questions

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Q1. A tangent from a point is 24 cm long and the distance of the point from the centre is 25 cm. Find the radius.
Q2. Two tangents from an external point are inclined at 80 degrees. Find the angle subtended by the points of contact at the centre.
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Quick Q&A Before You Revise

How do I know when to use Pythagoras in this chapter?

Use Pythagoras whenever the radius to the point of contact, the tangent length, and the line joining the external point to the centre form a right triangle.

What is the most important side relation in a quadrilateral touching a circle?

If a quadrilateral circumscribes a circle, then the sum of one pair of opposite sides equals the sum of the other pair: AB + CD = BC + AD.

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