PYQ Vault

Day 438: MHT-CET Maths

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

  1. Question 1

    Limits. Asked once: 17 Apr 2026 S1

    70
    Which of the following function is discontinuous at x=0x = 0 ?

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  2. Question 2

    Line and Plane. Asked once: 14 May 2026 S1

    96
    Let LL be a line x−11=y+23=z−7−1\dfrac{x - 1}{1} = \dfrac{y + 2}{3} = \dfrac{z - 7}{-1} and PP be a plane passing through the midpoint of the segment joining M(−4,2,1)M(-4, 2, 1) and N(2,−4,3)N(2, -4, 3) and perpendicular to segment MN. If the line LL intersects the plane PP at point S(α,β,γ)S(\alpha, \beta, \gamma), then α+β+γ=…\alpha + \beta + \gamma = \ldots

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  3. Question 3

    Mathematical Logic. Asked once: 22 Apr 2025 S2

    110
    pp : If 7 is an odd number then 7 is divisible by 2. q : If 7 is prime number then 7 is an odd number. If V1V_{1} and V2V_{2} are respective truth values of contrapositive of pp and qq then (V1,V2)≡\left( V_{1},V_{2} \right)\equiv

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  4. Question 4

    Measures of Dispersion. Asked once: 11 May 2023 S1

    128
    In an experiment with 15 observations for x, the following results were available ∑x2=2830\sum x^2 = 2830, ∑x=170\sum x = 170. One observation 20 was found to be wrong and was replaced by the correct value 30. Then the corrected variance is

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  5. Question 5

    Pair of Straight Lines. Asked once: 22 Apr 2025 S1

    119
    If the pair of straight lines xy−x+y−1=0xy-x+y- 1 = 0 and the line x+ky−3=0x+ky- 3 = 0 are concurrent, then the value of kk is equal to

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