Let f be a real valued function defined by f(x) = sin^ -1 ( , ,1 … - Vidyadip

MCQ

Let $f$ be a real valued function defined by

$f(x) = sin^{-1} \left( {\frac{{\,\,1 - \,\,\left| x \right|}}{3}} \right) + cos^{-1}\left( {\frac{{\left| x \right|\,\, - \,\,3}}{5}} \right)$ .

Then domain of $f(x)$ is given by :

✓
$[- 4, 4]$
B
$[0, 4]$
C
$[- 3, 3]$
D
$[- 5, 5]$

✓

Answer

Correct option: A.

$[- 4, 4]$

a

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Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): Assertion (A):For an objective function Z= 15x + 20y, corner points are (0, 0), (10, 0), (0, 15) and (5, 5). Then optimal values are 300 and 0 respectively.
Reason (R): The maximum or minimum value of an objective function is known as optimal value of LPP. These values are obtained at corner points.