PYQ Vault

Day 92: MHT-CET Maths

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

  1. Question 1

    Trigonometric Functions. This type asked 3 times: 11 May 2023 S2, 11 May 2024 S1, 16 Apr 2026 S1. This one: 16 Apr 2026 S1 See all 3 of this type

    62
    With usual notations in △\triangleABC, if bcos⁡2C2+ccos⁡2B2=3a2b\cos^2\dfrac{C}{2} + c\cos^2\dfrac{B}{2} = \dfrac{3a}{2} then

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  2. Question 2

    Pair of Straight Lines. This type asked 3 times: 10 May 2023 S1, 14 May 2024 S2, 15 Apr 2026 S2. This one: 15 Apr 2026 S2 See all 3 of this type

    59
    The line x+y=3x + y = 3 intersects the pair of straight lines x2−3xy+y2=0x^2 - 3xy + y^2 = 0 at points A and B. Then the co-ordinates of the mid-point of AB are

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  3. Question 3

    Probability Distribution. This type asked 3 times: 11 May 2024 S2, 11 Apr 2026 S2, 15 Apr 2026 S1. This one: 15 Apr 2026 S1 See all 3 of this type

    100
    If A and B are two events such that P(A)=23P(A) = \dfrac{2}{3}, P(B)=12P(B) = \dfrac{1}{2} and P(A∣B)=23P(A \mid B) = \dfrac{2}{3}, then P(A′∪B)+P(A∪B′)=P(A' \cup B) + P(A \cup B') =

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  4. Question 4

    Binomial Distribution. This type asked 3 times: 4 May 2023 S1, 15 May 2023 S1, 13 Apr 2026 S2. This one: 13 Apr 2026 S2 See all 3 of this type

    98
    In a multiple-choice examination, there are 1010 questions with one correct option out of 44 options for each question. A student gets 44 marks for each correct answer and 11 mark is deducted for each incorrect answer. The probability that a student, guessing randomly on every question, scores 3030 marks in this exam is...

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  5. Question 5

    Applications of Derivative. This type asked 3 times: 4 May 2023 S1, 21 Apr 2025 S2, 13 Apr 2026 S1. This one: 13 Apr 2026 S1 See all 3 of this type

    75
    A wire 40 metre in length is to be cut into two pieces. One piece is formed into a square and the other piece into a circle. The lengths of the two pieces so that the combined area of the square and the circle is minimum, are respectively

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