1
MHT CET 2024 10th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

$\int_\limits0^{\frac{\pi}{2}}|\sin x-\cos x| d x$ has the value

A
$2 \sqrt{2}+1$
B
$2(\sqrt{2}+1)$
C
$2(\sqrt{2}-1)$
D
$2 \sqrt{2}-1$
2
MHT CET 2024 10th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

Negation of the statement "The payment will be made if and only if the work is finished in time." is

A
The work is finished in time and the payment is not made.
B
The payment is made and the work is not finished in time.
C
The work is finished in time and the payment is not made, or the payment is made and the work is finished in time.
D
Either the work is finished in time and the payment is not made, or the payment is made and the work is not finished in time.
3
MHT CET 2024 10th May Morning Shift
MCQ (Single Correct Answer)
+2
-0
If $$y = {{\sin x} \over {1 + {{\cos x} \over {1 + {{\sin x} \over {1 + {{\cos x} \over {...}}}}}}}}$$, then $\frac{dy}{dx}$ is given by
A
$\frac{y \sin x+(1+y) \cos x}{1+2 y+\cos x-\sin x}$
B
$\frac{y \cos x+(1+y) \sin x}{1+2 y+\cos x-\sin x}$
C
$\frac{y \sin x-(1+y) \cos x}{1+2 y+\cos x-\sin x}$
D
$\frac{y \cos x-(1+y) \sin x}{1+2 y+\cos x-\sin x}$
4
MHT CET 2024 10th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $\quad \overline{\mathrm{a}}=\hat{\mathrm{i}}-\hat{\mathrm{k}}, \overline{\mathrm{b}}=x \hat{\mathrm{i}}+\hat{\mathrm{j}}+(1-x) \hat{\mathrm{k}} \quad$ and $\overline{\mathrm{c}}=y \hat{\mathrm{i}}+x \hat{\mathrm{j}}+(1+x-y) \hat{\mathrm{k}}$ then $\overline{\mathrm{a}} \cdot(\overline{\mathrm{b}} \times \overline{\mathrm{c}})$ depends on

A
only $x$
B
only $y$
C
neither $x$ nor $y$
D
both $x$ and $y$
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