Practice Number of Tangents from a Point on a Circle - 10.3 | 10. CIRCLES | CBSE 10 Mathematics
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Number of Tangents from a Point on a Circle

10.3 - Number of Tangents from a Point on a Circle

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Can a tangent be drawn from a point inside a circle?

💡 Hint: Think about the definition of a tangent.

Question 2 Easy

How many tangents can be drawn from a point on the circumference?

💡 Hint: Consider what happens when you touch the circle at that point.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

How many tangents can be drawn from a point inside a circle?

0
1
2

💡 Hint: Recall the definition of a tangent.

Question 2

When a point is externally located to a circle, how many tangents can be drawn?

True
False

💡 Hint: Think about what happens at the points of contact.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

From a point P that is 10 cm away from the center of a circle with a radius of 6 cm, determine the lengths of the tangents drawn from point P.

💡 Hint: Utilize the Pythagorean theorem.

Challenge 2 Hard

Prove that the distance from a point to its tangents from a circle decreases as the point moves inward from the outside toward the perimeter.

💡 Hint: Graphically depict the movement to visualize this change.

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