Practice Solution - 3.2.1.1 | 3. Geomerty | ICSE Class 10 Maths | Allrounder.ai
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3.2.1.1 - Solution

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is a tangent?

πŸ’‘ Hint: Think about how a line interacts with a circle.

Question 2

Easy

What is the relationship between a tangent and a radius?

πŸ’‘ Hint: Visualize the two lines connecting at a point.

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 true about a tangent to a circle?

  • It touches at two points
  • It forms a right angle with the radius
  • It always passes through the center

πŸ’‘ Hint: Think about the point where the tangent meets the circle.

Question 2

Are the lengths of two tangents from an external point equal?

  • True
  • False

πŸ’‘ Hint: Visualize the tangents drawn to the circle.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A circle has a radius of 5 cm. A tangent is drawn at point A on the circle. If the segment from the center of the circle to the external point B measures 13 cm, determine the length of the tangent PA.

πŸ’‘ Hint: Remember the relationship between the radius, tangent, and the line from the center.

Question 2

Given a cyclic quadrilateral where two angles are 120 degrees and 60 degrees, verify if the opposite angles are supplementary. What can you conclude?

πŸ’‘ Hint: Always remember that in a cyclic quadrilateral, the opposite angles must sum to 180.

Challenge and get performance evaluation