1
MHT CET 2021 21th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

Let A = {10, 11, 12, 14, 26} and let f : A $$\to$$ N be such that f(a) = highest prime factor of a, where a $$\in$$ A, then range of f =

A
{5, 7, 13}
B
{5, 7, 11, 13}
C
{3, 5, 7, 11, 13}
D
{3, 7, 11, 13}
2
MHT CET 2021 21th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$\int {{{5\tan x} \over {\tan x - 2}}dx = x + a\log |\sin x - 2\cos x| + c} $$, then a = (Where c is constant of integration)

A
1
B
$$-$$2
C
$$-$$1
D
2
3
MHT CET 2021 21th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The area of the parallelogram with vertices A(1, 2, 3), B(1, 3, a), C(3, 8, 6) and D(3, 7, 3) is $$\sqrt{265}$$ sq. units, then a =

A
$$-5,2$$
B
6
C
$$-6,0$$
D
6, 0
4
MHT CET 2021 21th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$y = {\tan ^{ - 1}}\left\{ {{{a\cos x - b\sin x} \over {b\cos x + a\sin x}}} \right\}$$, then $${{dy} \over {dx}}$$

A
$${1 \over {1 + {x^2}}}$$
B
$${1 \over {\sqrt {1 - {x^2}} }}$$
C
$$ - 1$$
D
None of these
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