Two circles of unequal radii have four common tangents. A transverse common tangent meets the direct common tangents at the points P & Q. If length of direct common tangent (between the points of contact with the circles) is 8 then length of PQ is

see full answer

Take the SCORE scholarship exam from home and compete for scholarships worth ₹1 crore!*

An Intiative by Sri Chaitanya

answer is 8.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

PA=PR=8−aQR=QC=b So, PQ=PR+QR=8−a+bAls_QD=QR=8−bPS=PA=a So QP=QS+SP=8−b+a8−a+b=8−b+a⇒a=bPQ=8

Watch 3-min video & get full concept clarity