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Day 334: MHT-CET Maths

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

  1. Question 1

    Differentiation. Asked once: 21 Apr 2025 S1 (same type asked 8 times) See all 8 of this type

    134
    If x=log⁡t,t>0x= \log t,t> 0 and y=1ty=\frac{1}{t} then d2ydx2=\frac{d^{2}y}{dx^{2}}=

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  2. Question 2

    Mathematical Logic. Asked once: 15 Apr 2026 S1 (same type asked 8 times) See all 8 of this type

    62
    The dual of the converse of the inverse of the logical statement p→(q→r)p \to (q \to r) is equivalent to...

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  3. Question 3

    Probability Distribution. Asked once: 16 Apr 2026 S2 (same type asked 8 times) See all 8 of this type

    100
    If E1E_1 and E2E_2 are equally likely, mutually exclusive and exhaustive events and P(A∣E1)=0.2P(A|E_1) = 0.2, P(A∣E2)=0.3P(A|E_2) = 0.3, then P(E1∣A)P(E_1|A) equal to...

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  4. Question 4

    Trigonometric Functions. Asked once: 18 Apr 2026 S1 (same type asked 8 times) See all 8 of this type

    64
    In △ABC\triangle ABC, with usual notation, if a=13,b=14,c=15a = 13, b = 14, c = 15, then the sum of the values of sin⁡(A2)\sin\left(\dfrac{A}{2}\right) and sin⁡A\sin A is....

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  5. Question 5

    Line and Plane. Asked once: 12 May 2024 S2 (same type asked 8 times) See all 8 of this type

    103
    The shortest distance (in units) between the lines x+13=y+21=z+12\frac{x+1}{3}=\frac{y+2}{1}=\frac{z+1}{2} and r⃗=(2i^−2j^+3k^)+λ(i^+2j^)\vec{r}=(2\hat{i}-2\hat{j}+3\hat{k})+\lambda(\hat{i}+2\hat{j}) is

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