PYQ Vault
EbooksTutor

Day 276: MHT-CET Maths

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

  1. Question 1

    Probability Distribution. Asked once: 18 Apr 2026 S2 (same type asked 8 times) See all 8 of this type

    100
    In an entrance test, there are multiple choice questions. There are four possible answers to each question, only one of which is correct. The probability that a student knows the answer to a question is 90%. If he gets the correct answer to a question, then the probability that he was guessing is

    Tap an option to check your answer.

  2. Question 2

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

    65
    In △ABC\triangle ABC, with usual notations, if the sides aa, bb and cc are in the ratio 18:17:718 : 17 : 7, then cot⁡A2:cot⁡B2:cot⁡C2=\cot\dfrac{A}{2} : \cot\dfrac{B}{2} : \cot\dfrac{C}{2} =

    Tap an option to check your answer.

  3. Question 3

    Line and Plane. Asked once: 13 Apr 2026 S1 (same type asked 8 times) See all 8 of this type

    92
    The shortest distance between the lines, where the first line passes through (0,0,0)(0, 0, 0) and (2,0,3)(2, 0, 3) and the second line passes through (2,5,0)(2, 5, 0) and (0,4,0)(0, 4, 0) is

    Tap an option to check your answer.

  4. Question 4

    Differentiation. Asked once: 22 Apr 2025 S1 (same type asked 8 times) See all 8 of this type

    127
    If y=sin⁡−1(2x1+x2)+sec⁡−1(1+x21−x2)y=\sin^{- 1}\left( \frac{2x}{1 +x^{2}} \right)+\sec^{- 1}\left( \frac{1 +x^{2}}{1 -x^{2}} \right) then the value of dy dx\frac{dy}{\text{ }dx} at x=3x=\sqrt{3} is

    Tap an option to check your answer.

  5. Question 5

    Vectors. Asked once: 9 May 2024 S1 (same type asked 8 times) See all 8 of this type

    107
    The value of α\alpha, so that the volume of the parallelepiped formed by i^+αj^+k^\hat{i}+\alpha\hat{j}+\hat{k}, j^+αk^\hat{j}+\alpha\hat{k} and αi^+k^\alpha\hat{i}+\hat{k} becomes maximum, is

    Tap an option to check your answer.