There are two circles whose equations are x2+y2=9 and x2+y2-8x-6y+n2=0,n∈I. If the two circles having exactly two common tangents, then the number of the possible values of ‘n’ is

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.

An Intiative by Sri Chaitanya

answer is D.

(Unlock A.I Detailed Solution for FREE)

Detailed Solution

C1(0,0) C2(4,3)r1=3 r2=25-n2-50For exactly two common tangentsr1+r2>c1c2 ⇒3+25-n2>5⇒n2<21⇒-21

Watch 3-min video & get full concept clarity