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Day 179: MHT-CET Maths

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

  1. Question 1

    Vectors. Asked once: 16 Apr 2026 S1 (same type asked 9 times) See all 9 of this type

    87
    Let aˉ=i^+j^,cˉ=i^−j^\bar{a} = \hat{i} + \hat{j}, \bar{c} = \hat{i} - \hat{j} and a vector bˉ\bar{b} be such that aˉ×bˉ=cˉ\bar{a} \times \bar{b} = \bar{c} and aˉ⋅bˉ=3\bar{a}\cdot\bar{b} = 3 then ∣bˉ∣=|\bar{b}| =

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  2. Question 2

    Differentiation. Asked once: 13 Apr 2026 S1 (same type asked 9 times) See all 9 of this type

    73
    Let f(x)=x−5f(x) = x - 5. If g(x)=[f(4h(x)+3)]2g(x) = [f(4h(x) + 3)]^2 and h(1)=4,h′(1)=−2h(1) = 4, h'(1) = -2, then g′(1)=g'(1) = .....

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  3. Question 3

    Differentiation. Asked once: 13 May 2024 S2 (same type asked 9 times) See all 9 of this type

    144
    y=(1+3x)1/3(1+4x)1/4(1+5x)1/5(1+7x)1/7(1+8x)1/8y=\frac{(1+3x)^{1/3}(1+4x)^{1/4}(1+5x)^{1/5}}{(1+7x)^{1/7}(1+8x)^{1/8}}. Then dydx\frac{dy}{dx} at x=0x=0 is:

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  4. Question 4

    Binomial Distribution. Asked once: 21 Apr 2025 S2 (same type asked 9 times) See all 9 of this type

    119
    A random variable X has p.m.f. P(X=x)= 4Cx24,x=0,1,2,3,4P(X =x) =\frac{\ ^{4}C_{x}}{2^{4}},x= 0,1,2,3,4 and μ\mu and σ2\sigma^{2} are mean and variance respectively of random variable X , then

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  5. Question 5

    Differential Equations. Asked once: 19 Apr 2026 S1 (same type asked 8 times) See all 8 of this type

    87
    The solution of the differential equation dydx=a+bxc+dy\dfrac{dy}{dx} = \dfrac{a + bx}{c + dy} represents a family of circles centered at the origin if...

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