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Day 201: MHT-CET Maths

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

  1. Question 1

    Line and Plane. Asked once: 26 Apr 2025 S1 (same type asked 5 times) See all 5 of this type

    132
    The mirror image of the point P(−1,2,−4)P( - 1,2, - 4) in the plane x−y−2z+1=0x-y- 2z+ 1 = 0 is

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  2. Question 2

    Differentiation. Asked once: 12 May 2026 S1 (same type asked 5 times) See all 5 of this type

    71
    If x=at2x = at^2 and y=2at,t≠0y = 2at, t \neq 0 then ...

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  3. Question 3

    Indefinite Integration. Asked once: 19 Apr 2026 S1 (same type asked 5 times) See all 5 of this type

    78
    The value of integral ∫dxsin⁡2x+tan⁡2x\displaystyle\int\dfrac{dx}{\sin^2 x + \tan^2 x} is...

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  4. Question 4

    Limits. Asked once: 18 Apr 2026 S1 (same type asked 5 times) See all 5 of this type

    73
    The number of point / points where the function f(x)=1x2−5∣x∣+6f(x) = \dfrac{1}{x^2 - 5|x| + 6} is discontinuous is......

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  5. Question 5

    Line and Plane. Asked once: 20 Apr 2026 S2 (same type asked 5 times) See all 5 of this type

    93
    If the perpendicular distance of the plane passing through the point Q(1,0,−1)Q(1, 0, -1) and containing the line r⃗=(i^−3j^+k^)+λ(2i^−2j^+k^)\vec{r} = (\hat{i} - 3\hat{j} + \hat{k}) + \lambda(2\hat{i} - 2\hat{j} + \hat{k}) from origin is p53\dfrac{p}{\sqrt{53}} then p=p = ...

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