1
CBSE 12th Math (Term 1) Paper 2021-22
MCQ (Single Correct Answer)
+1
-0
If for the matrix $$A = \left[ {\matrix{ \alpha & { - 2} \cr { - 2} & \alpha \cr } } \right]$$, | A3 | = 125, then the value of $$\alpha$$ is
A
$$\pm$$ 3
B
$$-$$ 3
C
$$\pm$$ 1
D
1
2
CBSE 12th Math (Term 1) Paper 2021-22
MCQ (Single Correct Answer)
+1
-0
If $$y = \sin (m{\sin ^{ - 1}}x)$$, then which one of the following equations is true?
A
$$(1 - {x^2}){{{d^2}y} \over {d{x^2}}} + x{{dy} \over {dx}} + {m^2}y = 0$$
B
$$(1 - {x^2}){{{d^2}y} \over {d{x^2}}} - x{{dy} \over {dx}} + {m^2}y = 0$$
C
$$(1 + {x^2}){{{d^2}y} \over {d{x^2}}} - x{{dy} \over {dx}} - {m^2}y = 0$$
D
$$(1 + {x^2}){{{d^2}y} \over {d{x^2}}} + x{{dy} \over {dx}} - {m^2}x = 0$$
3
CBSE 12th Math (Term 1) Paper 2021-22
MCQ (Single Correct Answer)
+1
-0
The principal value of $$[{\tan ^{ - 1}}\sqrt 3 - {\cot ^{ - 1}}( - \sqrt 3 )]$$ is
A
$$\pi$$
B
$$ - {\pi \over 2}$$
C
0
D
$$2\sqrt 3 $$
4
CBSE 12th Math (Term 1) Paper 2021-22
MCQ (Single Correct Answer)
+1
-0
The maximum value of $${\left( {{1 \over x}} \right)^{x}}$$ is
A
e1/e
B
e
C
$${\left( {{1 \over e}} \right)^{1/e}}$$
D
ee
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