Practice Circles - 3.2 | 3. Geomerty | ICSE Class 10 Maths | Allrounder.ai
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3.2 - Circles

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is a tangent line?

πŸ’‘ Hint: Think about how it interacts with the circle.

Question 2

Easy

How do you define the radius of a circle?

πŸ’‘ Hint: It's a straight line from the center.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the relationship between a tangent and a radius at the point of contact?

  • They are parallel
  • They intersect at a right angle
  • They are perpendicular to each other

πŸ’‘ Hint: Think about how they meet at the circle.

Question 2

True or False: All angles in a semicircle are acute angles.

  • True
  • False

πŸ’‘ Hint: Consider the properties of angles in semicircles.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a circle with a radius of 4 cm, if a tangent is drawn from a point 7 cm away from the center, determine the length of the tangent.

πŸ’‘ Hint: Recall the relationship between the radius, distance to the external point, and the tangent.

Question 2

Prove that if a quadrilateral is cyclic, then the opposite angles must be supplementary.

πŸ’‘ Hint: Visualize or draw the cyclic quadrilateral, marking its angles clearly.

Challenge and get performance evaluation