In the given figure, PQRS is a square of side 20 cm and SR is extended to point T. If the length of QT is 25 cm, then what is the distance (in cm) between the centres O1 and O2 of the two circles?

Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 5√10

In ΔQRT
QT = 25 cm
QR = 20 cm
![]()
= 15 cm
Now, inradius (r) =
= 5 cm
and R will be 10 cm
∴ Distance b/w O1 & O2 = ![]()
Distance O1 O2 = 5√10 cm