Consider the equation sin−1x2−6x+172+cos−1k=π2 then

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

The largest value of k for which the equation has 2 distinct solutions is 1

The eqution must have real roots if k∈-12,1

the equation must have real roots if k∈-1,12

The equation has unique solution if k=-12

answer is A.

(Unlock A.I Detailed Solution for FREE)

Detailed Solution

sin−1x2−6x+172=sin−1kThe above equation has solutions only when -1≤k≤1The graph of the curve y=x2-6x+172 is as below

Watch 3-min video & get full concept clarity