1
CBSE 12th Math (Term 1) Paper 2021-22
MCQ (Single Correct Answer)
+1
-0
The function $$f(x) = \left\{ {\matrix{ {{{{e^{3x}} - {e^{ - 5x}}} \over x},} & {if\,x \ne 0} \cr {k,} & {if\,x = 0} \cr } } \right.$$ is continuous at x = 0 for the value of k, as
A
3
B
5
C
2
D
8
2
CBSE 12th Math (Term 1) Paper 2021-22
MCQ (Single Correct Answer)
+1
-0
If Cij denotes the cofactor of element pij of the matrix $$P = \left[ {\matrix{ 1 & { - 1} & 2 \cr 0 & 2 & { - 3} \cr 3 & 2 & 4 \cr } } \right]$$, then the value of $${C_{31}}\,.\,{C_{23}}$$ is
A
5
B
24
C
$$-$$24
D
$$-$$5
3
CBSE 12th Math (Term 1) Paper 2021-22
MCQ (Single Correct Answer)
+1
-0
The function $$y = {x^2}{e^{ - x}}$$ is decreasing in the interval
A
(0, 2)
B
(2, $$\infty$$)
C
($$-$$ $$\infty$$, 0)
D
($$-$$ $$\infty$$, 0) $$\cup$$ (2, $$\infty$$)
4
CBSE 12th Math (Term 1) Paper 2021-22
MCQ (Single Correct Answer)
+1
-0
If R = {(x, y); x, y $$\in$$ Z, x2 + y2 $$\le$$ 4} is a relation in set Z, then domain of R is
A
{0, 1, 2}
B
{$$-$$2, $$-$$1, 0, 1, 2}
C
{0, $$-$$1, $$-$$2}
D
{$$-$$1, 0, 1}
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