1
MHT CET 2022 11th August Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$\int \frac{\sin \frac{5 x}{2}}{\sin \frac{x}{2}} d x=$$

(where $$C$$ is a constant of integration.)

A
$$x+\sin x+\sin 2 x+C$$
B
$$x+\sin x+\sin 2 x-C$$
C
$$x+2 \sin x+2 \sin 2 x+C$$
D
None of these
2
MHT CET 2022 11th August Evening Shift
MCQ (Single Correct Answer)
+2
-0

The equation of the plane passing through the points $$(2,3,1),(4,-5,3)$$ and parallel to $$X$$-axis is

A
$$3 y+4 z=13$$
B
$$y-4 z=-1$$
C
$$2 y+4 z=19$$
D
$$y+4 z=7$$
3
MHT CET 2022 11th August Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$\text { If } \int e^{x^2} \cdot x^3 \mathrm{~d} x=e^{x^2} \cdot[f(x)+C]$$ (where $$C$$ is a constant of integration.) and $$f(1)=0$$, then value of $$f(2)$$ will be

A
$$\frac{-3}{2}$$
B
$$\frac{-1}{2}$$
C
$$\frac{3}{2}$$
D
$$\frac{1}{2}$$
4
MHT CET 2022 11th August Evening Shift
MCQ (Single Correct Answer)
+2
-0

The 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 or the payment is made and the work is finished in time.
B
The work is finished in time and the payment is not made.
C
The payment is made and the work is not 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.
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