Bissoy.com
Doctors Medicines MCQs Q&A

Two circles are having radii 9 cm and 12 cm and intersect each other. The distance between their centres is 15 cm. What is the length (in cm) of their common chord?

Two circles are having radii 9 cm and 12 cm and intersect each other. The distance between their centres is 15 cm. What is the length (in cm) of their common chord? Correct Answer 14.4

∴ The triangles are congruent

ΔMNP is a right angled triangle. Because the sides are Pythagorean triplet i.e. 122 + 92 = 152

Area of ΔMNP = 1/2 × MN × PR = 1/2 × MP × NP

⇒ MN × PR = MP × NP

⇒ 15 × PR = 12 × 9

PR = 7.2 cm

PQ = 2 × PR = 14.4 cm

Related Questions

Two circles of same radius intersect each other at P and Q. If the length of the common chord is 30 cm and distance between the centres of the two circles is 40 cm, then what is the radius (in cm) of the circles?
The radius of two circles is 20 cm and 18 cm. Both circles intersect each other at two points and the length of their common chord is 16 cm. Then, what is the distance between their centres (in cm)?
Two circles of equal radii intersect each other such that one circle will pass through the centre of the other circle. The distance between the centre of two circles is equal to 6 cm. Find the length (in cm) of common chord.
Two circles of radii 18 cm and 16 cm intersect each other and the length of their common chord is 20 cm. What is the distance (in cm) between their centres?
Two circles of same radius intersect each other at P and Q. If the length of the common chord is 30 cm and distance between the centres of the two circlesis 40 cm, then what is the radius (in cm) of the circles?
Two circles of radius 15 cm and 37 cm intersect each other at the points A and B. If the length of common chord is 24 cm, what is the distance (in cm) between the centres of the circles?
Two Rings of radii 10 cm and 9 cm intersect each other, having a common chord of length 16 cm. What is the distance between their centres?
Two circles of radii 20 cm and 16 cm intersect and the length of common chord is 24 cm. If d is the distance between their centres, then which one of the following is correct?
Two circles of radii 30 cm and 40 cm intersect each other, and the length of their common chord is 48 cm. What is the distance (in cm) between their centers?
Two circles of radii 15 cm and 12 cm intersect each other, and the length of their common chord is 18 cm. What is the distance (in cm) between their centers?