EASY
10th Chhattisgarh Board
IMPORTANT
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Only one tangent can be drawn at any particular point on a point. Why?

Important Questions on Circle and Tangents

EASY
10th Chhattisgarh Board
IMPORTANT
Mathematics Class - 10>Chapter 12 - Circle and Tangents>Try These

Identify and write the name of the intersecting lines, secants and tangents in the following figure.

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MEDIUM
10th Chhattisgarh Board
IMPORTANT
Mathematics Class - 10>Chapter 12 - Circle and Tangents>Exercise 5>Q 1
From a point P, which is at a distance of 10 cm from the centre of the circle, the length of the tangent segment is 8 cm. Find the radius of the circle.
HARD
10th Chhattisgarh Board
IMPORTANT
Mathematics Class - 10>Chapter 12 - Circle and Tangents>Exercise 5>Q 2

In the figure, ∠POQ=100°, AP and AQ are tangents. Find the value of ∠PAO.

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MEDIUM
10th Chhattisgarh Board
IMPORTANT
Mathematics Class - 10>Chapter 12 - Circle and Tangents>Exercise 5>Q 3
Prove that the tangents drawn at the endpoints of a diameter of a circle are parallel to each other.
MEDIUM
10th Chhattisgarh Board
IMPORTANT
Mathematics Class - 10>Chapter 12 - Circle and Tangents>Exercise 5>Q 4
A circle touches all the sides of a quadrilateral ABCD. Prove that AB+CD=BC+DA.
HARD
10th Chhattisgarh Board
IMPORTANT
Mathematics Class - 10>Chapter 12 - Circle and Tangents>Exercise 5>Q 5
Prove that the angle between two tangents drawn from the same external point is supplementary to the angle subtended at the centre by the chord which is formed by joining the contact points of the tangents.
HARD
10th Chhattisgarh Board
IMPORTANT
Mathematics Class - 10>Chapter 12 - Circle and Tangents>Exercise 5>Q 6
Prove that the intercept of a tangent between two parallel tangents to a circle subtends a right angle at the centre.