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Day 87: MHT-CET Maths

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

  1. Question 1

    Line and Plane. This type asked 3 times: 12 May 2024 S2, 21 Apr 2025 S2, 20 Apr 2026 S1. This one: 20 Apr 2026 S1 See all 3 of this type

    89
    The volume of the tetrahedron whose vertices are A(−1,2,3),B(3,−2,1),C(p,1,3),D(−1,−2,4)\mathrm{A}(-1, 2, 3), \mathrm{B}(3, -2, 1), \mathrm{C}(p, 1, 3), \mathrm{D}(-1, -2, 4) is 163\dfrac{16}{3} cubic units then the value of p is

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  2. Question 2

    Line and Plane. This type asked 3 times: 11 May 2023 S1, 11 Apr 2026 S1, 20 Apr 2026 S1. This one: 20 Apr 2026 S1 See all 3 of this type

    95
    A plane meets the co-ordinate axes in A, B, C such that the centroid of the triangle ABC is the point (1,r,r2)(1, r, r^2), then the equation of the plane is,

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  3. Question 3

    Differentiation. This type asked 3 times: 25 Apr 2025 S1, 15 Apr 2026 S2, 19 Apr 2026 S2. This one: 19 Apr 2026 S2 See all 3 of this type

    71
    If xm+ym=k,(m≠1)x^m + y^m = k, (m \neq 1) and y′′=axbycy'' = \dfrac{ax^b}{y^c} such that a+b+c=0a + b + c = 0, then the value of k is...

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  4. Question 4

    Line and Plane. This type asked 3 times: 2 May 2023 S1, 26 Apr 2025 S2, 19 Apr 2026 S2. This one: 19 Apr 2026 S2 See all 3 of this type

    91
    The perpendicular distance from the origin to the plane containing the points (1,−2,1),(2,−1,−3)(1, -2, 1), (2, -1, -3) and (0,1,5)(0, 1, 5) is...(in units)

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  5. Question 5

    Circle. This type asked 3 times: 22 Apr 2025 S2, 16 Apr 2026 S1, 19 Apr 2026 S1. This one: 19 Apr 2026 S1 See all 3 of this type

    56
    A line making equal intercepts on coordinate axes and is tangent to the circle x2+y2=4x^2 + y^2 = 4. The length of each intercept made by line on the coordinate axes is ...

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