Q.

The number of solutions of the equations af(x)+g(x)=0 , where a>0 , g(x)≠0  has minimum value ½, is

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a

Infinitely many

b

Only one

c

Two

d

Zero

answer is D.

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Detailed Solution

a>0 ⇒ af(x)>0 Also g(x)>1/2 ∴ af(x)+g(x)>1/2 ∀ x∈R ∴ af(x)+g(x)=0  has no solution.
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