1
MHT CET 2026 20th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
If $P$ be any point on the ellipse $16x^2 + 25y^2 = 400$ with foci $S$ and $S'$ and area of $\triangle PSS'$ is 9 square units, then the abscissa of point $P$ is...........
A
$\dfrac{7\sqrt{5}}{4}$
B
$\dfrac{4\sqrt{7}}{5}$
C
$\dfrac{5\sqrt{7}}{4}$
D
$\dfrac{10}{7}$
2
MHT CET 2026 20th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
The value of $\lim\limits_{n \to \infty}\left[\dfrac{1}{1 - n^2} + \dfrac{2}{1 - n^2} + \ldots + \dfrac{n}{1 - n^2}\right]^3$ is
A
$8$
B
$-8$
C
$\dfrac{1}{8}$
D
$\dfrac{-1}{8}$
3
MHT CET 2026 20th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
If $\sim p \vee q$ is false then which of the following is correct?
A
$p \leftrightarrow q$ is $T$
B
$p \rightarrow q$ is $T$
C
$q \rightarrow p$ is $T$
D
$q \rightarrow p$ is $F$
4
MHT CET 2026 20th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
The contrapositive of $\sim q \rightarrow p$ is equivalent to
A
$p \rightarrow q$
B
$p \wedge q$
C
$p \vee q$
D
$\sim p \rightarrow \sim q$

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