1
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
2
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
$\frac{9}{16}$
3
MHT CET 2025 20th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

The function defined by $\mathrm{f}(x)=\frac{2 x+3}{3 x+4}, x \neq-\frac{4}{3}$ is

A
only one one
B
only onto
C
onto for $y \neq \frac{2}{3}$ and one-one
D
neither one-one nor onto
4
MHT CET 2025 20th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

The equation $|z+1-i|=|z-1+i|$ represents a (where z is a complex number)

A
Straight line passing through the origin and the first and third quadrant.
B
Straight line passing through the origin and the second and fourth quadrant.
C
Straight line passing through the point $(1,-1)$ and having slope -1 .
D
Straight line passing through the point $(2,1)$ and having slope $\frac{1}{2}$.

MHT CET Papers

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