1
MHT CET 2025 26th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $\mathrm{f}(x)=3 x^2+2 x \mathrm{f}^{\prime}(1)+\mathrm{f}^{\prime \prime}(2)$, then $\mathrm{f}(x)=\ldots \ldots .$.

A

$3 x^2+8 x+4$

B

$3 x^2+12 x+12$

C

$3 x^2-12 x+6$

D

$3 x^2-18 x+5$

2
MHT CET 2025 26th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

The equation of the tangent to the curve $y=\mathrm{be}^{-x / \mathrm{a}}$ at the point where it crosses the Y axis is

A

$x+y=\mathrm{ab}$

B

$\frac{x}{\mathrm{a}}+\frac{y}{\mathrm{~b}}=1$

C

$\mathrm{a} x+\mathrm{b} y=1$

D

$x+y=\mathrm{a}+\mathrm{b}$

3
MHT CET 2025 26th April Evening Shift
MCQ (Single Correct Answer)
+1
-0

The magnetic moment of electron due to orbital motion is proportional to ( $\mathrm{n}=$ principal quantum number)

A

n

B

$n^2$

C

$\frac{1}{n}$

D

$\frac{1}{\mathrm{n}^2}$

4
MHT CET 2025 26th April Evening Shift
MCQ (Single Correct Answer)
+1
-0

A same torque is applied to a disc and a ring of equal mass and radii then

A
the ring will rotate with greater angular frequency.
B
both will rotate with same angular frequency.
C
the disc will rotate with greater angular frequency.
D
both will rotate with same angular velocity.
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