1
MHT CET 2025 20th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

The co-ordinates of the point where the line joining the points $(2,-3,1)$ and $(3,-4,-5)$ and intersects the plane $2 x+y+z=7$ are

A
$\quad(-1,2,7)$
B
$(1,2,3)$
C
$(2,1,2)$
D
$(1,-2,7)$
2
MHT CET 2025 20th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$ \int \mathrm{e}^x \frac{(x-1)}{(x+1)^3} \mathrm{~d} x= $$

A
$\mathrm{e}^x(x+1)^2+\mathrm{c}$, where c is the constant of integration
B
$\mathrm{e}^x(x+1)^3+\mathrm{c}$, where c is the constant of integration
C
$\frac{\mathrm{e}^x}{(x+1)^2}+\mathrm{c}$, where c is the constant of integration
D
$\frac{\mathrm{e}^x}{(x+1)^3}+\mathrm{c}$, where c is the constant of integration
3
MHT CET 2025 20th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

If the curve $y=a x^2-6 x+b$ passes through $(0,4)$ and has its tangent parallel to the X-axis at $x=\frac{3}{2}$, then the values of $a$ and $b$ respectively are

A
$-2,-4$
B
2,4
C
$-2,4$
D
$2,-4$
4
MHT CET 2025 20th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

The negation of $(p \wedge \sim q) \rightarrow(p \vee \sim q)$ is

A
a tautology
B
a contingency
C
a contradiction
D
equivalent to $\mathrm{p} \wedge \mathrm{q}$
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