1
MHT CET 2026 13th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
A point on the parabola $y^2 = \dfrac{36}{5}x$ at which the ordinate increases at thrice the rate of the abscissa is .....
A
$\left(\dfrac{6}{5}, \dfrac{1}{5}\right)$
B
$\left(\dfrac{1}{5}, \dfrac{6}{5}\right)$
C
$(5, 6)$
D
$\left(\dfrac{3}{5}, \dfrac{9}{5}\right)$
2
MHT CET 2026 13th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The area of the triangle formed by the lines joining the vertex of the parabola $x^2 = 48y$ to the ends of its latus rectum, is .....
A
$144$ sq. units
B
$288$ sq. units
C
$72$ sq. units
D
$576$ sq. units
3
MHT CET 2026 13th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
$\displaystyle\lim_{x \to 0}\left[\dfrac{\log|2 + x| - \log|2 - x|}{\tan x}\right] = $ .......
A
$2$
B
$0$
C
$-1$
D
$1$
4
MHT CET 2026 13th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
Consider the statement patterns
A. $(q \rightarrow p) \vee (p \rightarrow q)$
B. $(\sim p \vee \sim q) \leftrightarrow \sim (p \wedge q)$
C. $[(p \vee q) \wedge \sim p] \wedge \sim q$
D. $(p \wedge q) \wedge (\sim p \vee \sim q)$
then statement patterns
A
A and B are contradictions, C and D are tautologies.
B
A and B are tautologies, C and D are contradictions.
C
A, B, C, D all are tautologies.
D
A, B, C, D all are contradictions.

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