Practice Summary - 10.4 | 10. CIRCLES | CBSE 10 Mathematics | Allrounder.ai
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Summary

10.4 - Summary

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define a tangent in relation to a circle.

💡 Hint: Think about how a line interacts with a circle.

Question 2 Easy

What property does a tangent hold in relation to the radius?

💡 Hint: Consider the angles involved.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

A tangent touches a circle at how many points?

More than one
Exactly one
None

💡 Hint: Recall the definition of a tangent.

Question 2

True or False: A tangent can be drawn to a circle from a point located inside the circle.

True
False

💡 Hint: Think about how tangents relate to points inside the circle.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Prove that if two tangents are drawn from an external point to a circle, the angle formed between them is supplementary to the angle subtended at the center of the circle by the segment joining their points of contact.

💡 Hint: Consider using angle properties and relevant triangles.

Challenge 2 Hard

Given a circle with radius 'r', find the length of a tangent from a point situated 'd' units away from the center of the circle.

💡 Hint: Apply the Pythagorean theorem here.

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