JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Analyzing +4 | -1

Let

f: R \rightarrow R

be a function defined by

f(x)=\log _{\sqrt{m}}\{\sqrt{2}(\sin x-\cos x)+m-2\}

, for some

m

, such that the range of

f

[0,2]

. Then the value of

m

View answer and explanation

Correct option: D

Option D (5) is correct because the range of the function is [0,2], which leads to the equation

\log_{\sqrt{m}}(m-4) = 0

, and solving for m gives m = 5.

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