Day 403: MHT-CET Maths

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

Question 1
Mathematical Logic. Asked once: 22 Apr 2025 S1 (same type asked 14 times) See all 14 of this type
106 $\lbrack p \land \sim r\rbrack \rightarrow \sim r \land q$
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Question 2
Differential Equations. Asked once: 20 Apr 2025 S1 (same type asked 14 times) See all 14 of this type
149 $\sqrt{\frac{d^{2}y}{\text{ }dx^{2}}}=\sqrt[5]{\frac{dy}{\text{ }dx}- 5}$
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Question 3
Mathematical Logic. Asked once: 9 May 2023 S1 (same type asked 14 times) See all 14 of this type
149 $p$
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Question 4
Definite Integration. Asked once: 10 May 2024 S2 (same type asked 13 times) See all 13 of this type
145 $\displaystyle\int_{-\pi/2}^{\pi/2}[f(x)+f(-x)][g(x)-g(-x)]\,dx$
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Question 5
Trigonometric Functions. Asked once: 11 May 2023 S1 (same type asked 12 times) See all 12 of this type
147 $\cos\left(\sin^{-1}\frac{3}{5} + \cos^{-1}\frac{12}{13}\right) =$
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Question 1