Question

If root of equation ax² + bx + c = 0 is x = α and root's are repeated then value of $f(x) = \sin^{2}x + \sin^{2}{}\left( x + \frac{\pi}{3} \right) + \cos x\cos\left( x + \frac{\pi}{3} \right)\text{and }g\left( \frac{5}{4} \right) = 1,\text{then }(gof)(x)$ is-

• A. a
• B. – a
• C. 0
• D. None of these

Answer 1

Answer: (A)

a

Answer 2

Q root's are repeated.

∴ ax² + bx + c = a(x – α)²

∴ $\lim _ { x \rightarrow \alpha }$ a = a