EASY
10th CBSE
IMPORTANT
Earn 100

If the tangent at a point P to a circle with centre O cuts a line through O at Q such that PQ=24 cm and OQ=25 cm. Find the radius of the circle. (Write the numeral value as final answer i.e without unit.)

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Important Questions on Circles

EASY
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 8 - Circles>EXERCISE 8.2>Q 1
If PT is a tangent at T to a circle whose center is O and OP=17 cm, OT=8 cm, then find the length of the tangent segment PT.
EASY
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 8 - Circles>EXERCISE 8.2>Q 2
Find the length of a tangent drawn to a circle with a radius 5 cm, from a point 13 cm from the centre of the circle.
EASY
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 8 - Circles>EXERCISE 8.2>Q 3
A point P is 26 cm away from the centre O of a circle and the length PT of the tangent drawn from P to the circle is 10 cm. Find the radius of the circle.
EASY
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 8 - Circles>EXERCISE 8.2>Q 4
If from any point on the common chord of two intersecting circles, tangents are drawn to the circles, prove that they are equal.
EASY
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 8 - Circles>EXERCISE 8.2>Q 5
If the sides of a quadrilateral touch a circle. Prove that the sum of a pair of opposite sides is equal to the sum of the other pair.
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 8 - Circles>EXERCISE 8.2>Q 6

Out of the two concentric circles, the radius of the outer circle is 5 cm and the chord AC of length 8 cm is a tangent to the inner circle. Find the radius of the inner circle.

MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 8 - Circles>EXERCISE 8.2>Q 7
A chord PQ of a circle is parallel to the tangent drawn at a point R of the circle. Prove that R bisects the arc PRQ.
EASY
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 8 - Circles>EXERCISE 8.2>Q 8
Prove that a diameter AB of a circle bisects all those chords which are parallel to the tangent at that point A.