PYQ Vault

Day 214: MHT-CET Maths

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

  1. Question 1

    Binomial Distribution. Asked once: 12 May 2026 S1 (same type asked 4 times) See all 4 of this type

    98
    Given that X∼B(20,p)X \sim B(20, p) if E(X)=8E(X) = 8 then Var(X)Var(X) is

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  2. Question 2

    Definite Integration. Asked once: 11 Apr 2026 S1 (same type asked 4 times) See all 4 of this type

    81
    If [⋅][\cdot] denotes the greatest integer function, then ∫14x[x] dx\displaystyle\int_1^4 x[x]\,dx is equal to

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  3. Question 3

    Line and Plane. Asked once: 19 Apr 2025 S1 (same type asked 4 times) See all 4 of this type

    137
    If the directed line makes an angle 45∘45^{\circ} and 60∘60^{\circ} with the X and Y -axes respectively, then the obtuse angle θ\theta made by the line with the Z -axis is

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  4. Question 4

    Applications of Derivative. Asked once: 19 Apr 2025 S2 (same type asked 4 times) See all 4 of this type

    145
    The equation of tangent to the curve y=cos⁡(x+y)y= \cos(x+y) where −2π≤x≤2π- 2\pi\leq x\leq 2\pi and.which is parallel to the line x+2y=0x+ 2y= 0, is

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  5. Question 5

    Differential Equations. Asked once: 12 May 2026 S1 (same type asked 4 times) See all 4 of this type

    85
    The differential equation of the family of all straight lines touching the circle x2+y2=1x^2 + y^2 = 1 is ...

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