CIRCLES || Quantitative Aptitude || CAT 2021 || 07 October

In the figure two circles intersect at two points M and N. Through M two-line segments AMD and PMQ are drawn to intersect the circles at A, D and P, Q respectively. If ∠ANP = 45° then what is the value of ∠QND?

Find the circumference of the circle whose area is 7546 cm².

In a circle of radius 13 cm, a chord is at a distance of 12 cm from the centre of the circle. What is the length of the chord?

In a circle with centre O, an arc ABC subtends an angle of 140° at the centre of the circle. The chord AB is produced to point P. Then ∠CBP is equal to:

In the given figure, BT and CT′ are two tangents at points B and C on the circle and ∠BPC = 80°. If O is the centre of the circle, then ∠BAC is equal to:

Two circles of radius 8 cm and 12 cm cut each other at P and Q. If PQ = 12 cm then find distance between 2 centres.

Two parallel chords are drawn in a circle of diameter 20 cm. The length of one chord is 16 cm and the distance between the two chords is 12 cm. The length of the other chord is:

Tangent at points A and B to a circle of radius 5 cm intersect at point P. If AB = 8 cm. Find the length of AP

In the given figure PT is a tangent of circle and AB is a chord such that AB = 15 cm and PT = 2 PA. Find length of PT.

In the given figure, P is a point outside the circle and secants PCA and PDB intersect the circle at C and A, D and B respectively. If PA = 24 cm, CA = 16 cm and DB = 26 cm, then find the length of PB