PYQ Vault
EbooksTutor

Day 357: MHT-CET Maths

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

  1. Question 1

    Applications of Derivative. Asked once: 2 May 2023 S1 (same type asked 4 times) See all 4 of this type

    148
    The normal to the curve y(x−2)(x−3)=x+6y(x-2)(x-3) = x+6 at the point, where the curve intersects the Y-axis, passes through the point

    Tap an option to check your answer.

  2. Question 2

    Vectors. Asked once: 10 May 2023 S2 (same type asked 4 times) See all 4 of this type

    112
    The vector of magnitude 6 units and perpendicular to vectors 2i^+j^−3k^2\hat{i}+\hat{j}-3\hat{k} and i^−2j^+k^\hat{i}-2\hat{j}+\hat{k} is

    Tap an option to check your answer.

  3. Question 3

    Probability Distribution. Asked once: 10 May 2024 S1 (same type asked 4 times) See all 4 of this type

    104
    p.d.f. f(x)=kx2,  0≤x≤6f(x)=kx^2,\;0\le x\le6. Value of F(4) (c.d.f.) is

    Tap an option to check your answer.

  4. Question 4

    Applications of Derivative. Asked once: 16 May 2023 S1 (same type asked 4 times) See all 4 of this type

    117
    If θ\theta denotes the acute angle between the curves y=10−x2y = 10 - x^2 and y=2+x2y = 2 + x^2, at a point of the intersection, then ∣tan⁡θ∣|\tan\theta| is equal to

    Tap an option to check your answer.

  5. Question 5

    Vectors. Asked once: 3 May 2023 S1 (same type asked 4 times) See all 4 of this type

    112
    The area (in sq. units) of the parallelogram whose diagonals are along the vectors 8i^−6j^8\hat{i}-6\hat{j} and 3i^+4j^−12k^3\hat{i}+4\hat{j}-12\hat{k} is

    Tap an option to check your answer.