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Day 293: MHT-CET Maths

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

  1. Question 1

    Line and Plane. Asked once: 14 May 2024 S2 (same type asked 5 times) See all 5 of this type

    148
    The mirror image of P(2,4,−1)P(2,4,-1) in the plane x−y+2z−2=0x-y+2z-2=0 is (a,b,c)(a,b,c), then the value of a+b+ca+b+c is

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  2. Question 2

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

    73
    If x=4t3+3,y=3t4+4x = 4t^3 + 3, y = 3t^4 + 4 and d2xdy2(dxdy)n\dfrac{\frac{d^2x}{dy^2}}{\left(\frac{dx}{dy}\right)^n} is constant then the value of nn is

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  3. Question 3

    Indefinite Integration. Asked once: 25 Apr 2025 S1 (same type asked 5 times) See all 5 of this type

    122
    ∫dx3cos⁡2x+5\int\frac{dx}{3\cos2x+ 5} equals

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  4. Question 4

    Limits. Asked once: 9 May 2024 S1 (same type asked 5 times) See all 5 of this type

    142
    The number of discontinuities of the greatest integer function f(x)=[x]f(x)=[x], x∈(−72,100)x\in\left(-\frac{7}{2},100\right)

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  5. Question 5

    Line and Plane. Asked once: 13 Apr 2026 S1 (same type asked 5 times) See all 5 of this type

    94
    Let a plane P pass through the point (3,7,−7)(3, 7, -7) and contain the line x−2−3=y−32=z+21\dfrac{x - 2}{-3} = \dfrac{y - 3}{2} = \dfrac{z + 2}{1}. If the distance of the plane P from the origin is d, then d2d^2 is

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