Day 394: MHT-CET Maths

5 questions. Try each one first, then open its answer.

Question 1
Differential Equations. Asked once: 15 May 2023 S2 (same type asked 15 times) See all 15 of this type
123 $\frac{dy}{dx} = \frac{3e^{2x}+3e^{4x}}{e^x+e^{-x}}$
Tap an option to check your answer.
Question 2
Binomial Distribution. Asked once: 14 May 2024 S2 (same type asked 14 times) See all 14 of this type
131 $A lot of 100 bulbs contains 10 defective bulbs. Five bulbs are selected at random and sent to retail store. Then the probability that the store will receive at most one defective bulb is$
Tap an option to check your answer.
Question 3
Trigonometric Functions. Asked once: 11 Apr 2026 S1 (same type asked 14 times) See all 14 of this type
66 $\tan^{-1}(1) + \tan^{-1}(3) + \tan^{-1}(5) + \tan^{-1}\left(\dfrac{1}{4}\right) = \pi + \tan^{-1}\left(\dfrac{\alpha}{2}\right)$
Tap an option to check your answer.
Question 4
Mathematical Logic. Asked once: 16 Apr 2026 S2 (same type asked 14 times) See all 14 of this type
60 $[(p \leftrightarrow q) \wedge (q \to r) \wedge \sim r] \to (p \wedge \sim q)$
Tap an option to check your answer.
Question 5
Differential Equations. Asked once: 22 Apr 2025 S1 (same type asked 14 times) See all 14 of this type
114 $\frac{d^{2}y}{\text{ }dx^{2}}+ 3\left( \frac{\text{ }dy}{\text{ }dx} \right)^{2}=x^{2}\log\left( \frac{{\text{ }d}^{2}y}{\text{ }dx^{2}} \right)$
Tap an option to check your answer.

Question 1