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Day 290: MHT-CET Maths

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

  1. Question 1

    Line and Plane. Asked once: 14 May 2026 S1 (same type asked 5 times) See all 5 of this type

    94
    The acute angle between the line rˉ=2i^+2j^+k^+λ(2i^−3j^+2k^)\bar{r} = 2\hat{i} + 2\hat{j} + \hat{k} + \lambda(2\hat{i} - 3\hat{j} + 2\hat{k}) and the plane rˉ⋅(3i^−2j^+5k^)=4\bar{r}\cdot(3\hat{i} - 2\hat{j} + 5\hat{k}) = 4 is

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  2. Question 2

    Line and Plane. Asked once: 10 May 2023 S2 (same type asked 5 times) See all 5 of this type

    102
    The vector equation of the plane passing through the point A(1, 2, -1) and parallel to the vectors 2i^+j^−k^2\hat{i}+\hat{j}-\hat{k} and i^−j^+3k^\hat{i}-\hat{j}+3\hat{k} is

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  3. Question 3

    Applications of Derivative. Asked once: 11 Apr 2026 S2 (same type asked 5 times) See all 5 of this type

    75
    The tangent to the curve y2−xy+9=0y^2 - xy + 9 = 0 is vertical when

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  4. Question 4

    Differentiation. Asked once: 20 Apr 2026 S1 (same type asked 5 times) See all 5 of this type

    73
    The derivative of f(sin⁡x)f(\sin x) with respect to g(sec⁡x)g(\sec x) at x=π4x = \dfrac{\pi}{4}, given that f′(12)=3f'\left(\dfrac{1}{\sqrt{2}}\right) = 3 and g′(2)=1g'(\sqrt{2}) = 1 is.....

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  5. Question 5

    Pair of Straight Lines. Asked once: 13 Apr 2026 S2 (same type asked 5 times) See all 5 of this type

    58
    The pair of straight lines represented by the equation 3x2−4xy+3y2=0\sqrt{3}x^2 - 4xy + \sqrt{3}y^2 = 0 are

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