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Day 287: MHT-CET Maths

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

  1. Question 1

    Line and Plane. Asked once: 26 Apr 2025 S2 (same type asked 6 times) See all 6 of this type

    137
    The line x−12=y+2−1=Z1\frac{x- 1}{2}=\frac{y+ 2}{- 1}=\frac{Z}{1} intersects the XY plane and the YZ plane at points A and B respectively. The equation of line through the points AA and BB is

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  2. Question 2

    Probability Distribution. Asked once: 3 May 2023 S1 (same type asked 6 times) See all 6 of this type

    140
    A person throws an unbiased die. If the number shown is even, he gains an amount equal to the number shown. If the number is odd, he loses an amount equal to the number shown. Then his expectation is Rs.

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  3. Question 3

    Line and Plane. Asked once: 21 Apr 2025 S2 (same type asked 6 times) See all 6 of this type

    127
    The angle between the lines whose direction cosines are −34,14,−32\frac{-\sqrt{3}}{4},\frac{1}{4},\frac{-\sqrt{3}}{2} and −34,14,32\frac{-\sqrt{3}}{4},\frac{1}{4},\frac{\sqrt{3}}{2} is

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  4. Question 4

    Vectors. Asked once: 9 May 2024 S1 (same type asked 6 times) See all 6 of this type

    147
    The volume of parallelepiped, whose coterminous edges are given by u⃗=i^+j^+λk^\vec{u}=\hat{i}+\hat{j}+\lambda\hat{k}, v⃗=i^+j^+3k^\vec{v}=\hat{i}+\hat{j}+3\hat{k}, w⃗=2i^+j^+k^\vec{w}=2\hat{i}+\hat{j}+\hat{k} is 1 cu units. If θ\theta is the angle between u⃗\vec{u} and w⃗\vec{w}, then the value of cos⁡θ\cos\theta is

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  5. Question 5

    Applications of Derivative. Asked once: 11 May 2023 S1 (same type asked 6 times) See all 6 of this type

    118
    If equation of normal to the curve x=tx = \sqrt{t}, y=t−1ty = t - \frac{1}{\sqrt{t}} at t=4t = 4 is

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