Question

If the zeros of polynomial k?r? - 16(k + c) +k+2, (k < 0) are reciprocal of each other, then the value of k is: ​

Answer 1

Step-by-step explanation:

Correct option is

A

2

Let α and α1 be the roots of k2x2−17x+(k+2)

So, product of roots =α×α1

⇒α×α1=k2k+2

⇒k2=k+2

⇒k2−k−2=0

⇒k=2 and k=−1

But k>0,∴k=2

Hence, option A is the correct answer.