1
MHT CET 2026 19th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The symmetric form of the equation of the line $x = ay + b$, $z = cy + d$ is
A
$\dfrac{x - a}{b} = y = \dfrac{z - c}{d}$
B
$\dfrac{x - b}{a} = \dfrac{y - d}{c} = z$
C
$x = \dfrac{y - a}{b} = \dfrac{z - c}{d}$
D
$\dfrac{x - b}{a} = y = \dfrac{z - d}{c}$
2
MHT CET 2026 19th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The shaded region in the provided graph represents the solution set for which of the following systems of linear inequalities?
A
$2x + y \geq 2,\ x - y \geq 1,\ x + 2y \leq 8,\ x \geq 0,\ y \geq 0$
B
$x + 2y \geq 2,\ x - y \geq 1,\ x + 2y \leq 8,\ x \geq 0,\ y \geq 0$
C
$2x + y \geq 2,\ x - y \leq 1,\ x + 2y \leq 8,\ x \geq 0,\ y \geq 0$
D
$2x + y \geq 2,\ x - y \leq 1,\ 2x + y \leq 8,\ x \geq 0,\ y \geq 0$
3
MHT CET 2026 19th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
If in $6$ trials, X is a binomial random variable which follows the relation $9P(x = 4) = P(x = 2)$, then the probability of failure is...
A
$0.125$
B
$0.25$
C
$0.375$
D
$0.75$
4
MHT CET 2026 19th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
Given the probability density function (p.d.f.) of the random variable X, $f(x) = \dfrac{1}{2a}$, $0 < x < 2a$, $a > 0$
$= 0$, otherwise, then which of the following is correct ?
A
$P\left(X < \dfrac{a}{2}\right) = P\left(X > \dfrac{a}{2}\right)$
B
$P\left(X < \dfrac{a}{2}\right) < P\left(X > \dfrac{3a}{2}\right)$
C
$P\left(X < \dfrac{a}{2}\right) > P\left(X > \dfrac{3a}{2}\right)$
D
$P\left(X < \dfrac{a}{2}\right) = P\left(X > \dfrac{3a}{2}\right)$

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