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

$$ \mathop {\lim }\limits_{x \to 0} \frac{\mathrm{e}^{\tan x}-\mathrm{e}^x}{\tan x-x}= $$

A
1
B
0
C
$\frac{1}{2}$
D
$\frac{1}{4}$
2
MHT CET 2025 20th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

The area of the triangle formed by the lines joining the vertex of the parabola $x^2=20 y$ to the end of its latus rectum is

A
100 sq. units
B
40 sq. units
C
20 sq. units
D
50 sq. units
3
MHT CET 2025 20th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

The value of $\int_{-1}^1\left(\sqrt{1+x+x^2}-\sqrt{1-x+x^2}\right) \mathrm{d} x$ is

A
-1
B
1
C
0
D
2
4
MHT CET 2025 20th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

If two numbers $p$ and $q$ are chosen randomly from the set $\{1,2,3,4\}$, one by one, with replacement, then the probability of getting $\mathrm{p}^2 \geq 4 \mathrm{q}$ is

A
$\frac{1}{4}$
B
$\frac{7}{16}$
C
$\frac{1}{2}$
D
$\frac{9}{16}$

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