Solveeit Logo
Login

Question

Question: The value of 'a' for which ax<sup>2</sup>+sin<sup>–1</sup> (x<sup>2</sup> – 2x +2) + cos<sup>–1</sup...

The value of 'a' for which ax2+sin–1 (x2 – 2x +2) + cos–1(x2 – 2x + 2) = 0 has a real solution is

A

p/2

B

– p /2

C

2/p

D

–2/p

Answer

– p /2

Explanation

Solution

ax2 + sin–1 ((x – 1)2 + 1) + cos–1 ((x – 1)2 + 1) = 0

\ –1 £ (x – 1)2 + 1 £ 1 Ž x = 1

\ a + π2\frac { \pi } { 2 } = 0 Ž a = – π2\frac { \pi } { 2 }