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Day 188: MHT-CET Maths

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

  1. Question 1

    Differential Equations. Asked once: 16 Apr 2026 S2 (same type asked 7 times) See all 7 of this type

    86
    The equation of the curve passing through the point (0, 1) and having a slope of the tangent at point P(x,y)P(x, y) is equal to yx+y\dfrac{y}{x + y}, is

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  2. Question 2

    Line and Plane. Asked once: 15 Apr 2026 S2 (same type asked 7 times) See all 7 of this type

    94
    If the lines x=−1+s,y=3−λs,z=1+λsx = -1 + s, y = 3 - \lambda s, z = 1 + \lambda s and x=t2,y=1+t,z=2−tx = \dfrac{t}{2}, y = 1 + t, z = 2 - t with parameters s and t, are coplanar, then λ=\lambda =

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  3. Question 3

    Line and Plane. Asked once: 14 May 2024 S1 (same type asked 7 times) See all 7 of this type

    121
    Equation of the plane passing through (1,−1,2)(1,-1,2) and perpendicular to the planes x+2y−2z=4x+2y-2z=4 and 3x+2y+z=63x+2y+z=6 is:

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  4. Question 4

    Trigonometric Functions. Asked once: 12 May 2024 S2 (same type asked 7 times) See all 7 of this type

    145
    If two angles of △ABC\triangle ABC are π4\frac{\pi}{4} and π3\frac{\pi}{3}, then the ratio of the smallest and greatest sides are

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  5. Question 5

    Indefinite Integration. Asked once: 14 May 2024 S2 (same type asked 7 times) See all 7 of this type

    126
    The value of ∫ex(x2+4x+4)(x+4)2 dx\int \frac{e^x(x^2+4x+4)}{(x+4)^2}\,dx is

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