Practice Solution (3.2.1.1) - Geomerty - ICSE 10 Maths
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Practice Questions

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Question 1 Easy

What is a tangent?

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

Question 2 Easy

What is the relationship between a tangent and a radius?

💡 Hint: Visualize the two lines connecting at a point.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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

💡 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

💡 Hint: Visualize the tangents drawn to the circle.

1 more question available

Challenge Problems

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Challenge 1 Hard

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.

💡 Hint: Remember the relationship between the radius, tangent, and the line from the center.

Challenge 2 Hard

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

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

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