If domain of function f(x) = √ {ln left( {msin x + 4} right)} is R , then number of po

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1.Relation and Function

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If domain of function $f(x) = \sqrt {\ln \left( {m\sin x + 4} \right)} $ is $R$ , then number of possible integral values of $m$ is

A

$3$

B

$4$

C

$6$

D

$7$

Solution

$ln(m\sin x + 4) \ge 0 \Rightarrow m\sin x + 4 \ge 1$

$m \sin x \geq-3 \Rightarrow m \in[-3,3]$

$7$ possible integral values.

Standard 12

Mathematics

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