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Day 153: MHT-CET Maths

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

  1. Question 1

    Line and Plane. This type asked 2 times: 13 Apr 2026 S2, 20 Apr 2026 S2. This one: 20 Apr 2026 S2 See all 2 of this type

    96
    The Cartesian equations of the line passing through A(0,1,1)A(0, 1, 1) and parallel to the X-axis are ....

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  2. Question 2

    Trigonometry - II. This type asked 2 times: 15 May 2023 S2, 20 Apr 2026 S2. This one: 20 Apr 2026 S2 See all 2 of this type

    54
    If x+y=π4x + y = \dfrac{\pi}{4}, then (1+tan⁡x)(1+tan⁡y)=(1 + \tan x)(1 + \tan y) =

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  3. Question 3

    Vectors. This type asked 2 times: 16 Apr 2026 S2, 20 Apr 2026 S2. This one: 20 Apr 2026 S2 See all 2 of this type

    89
    If u⃗=i^+2j^−2k^,v⃗=2i^+k^\vec{u} = \hat{i} + 2\hat{j} - 2\hat{k}, \vec{v} = 2\hat{i} + \hat{k} and w⃗\vec{w} is unit vector then the maximum value of scalar triple product [u⃗ v⃗ w⃗][\vec{u}\,\vec{v}\,\vec{w}] is

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  4. Question 4

    Indefinite Integration. This type asked 2 times: 22 Apr 2025 S2, 20 Apr 2026 S1. This one: 20 Apr 2026 S1 See all 2 of this type

    77
    If f(x)=∫x(x2+4)(x2+9) dxf(x) = \displaystyle\int\dfrac{x}{(x^2 + 4)(x^2 + 9)}\,dx and f(0)=15log⁡(23)f(0) = \dfrac{1}{5}\log\left(\dfrac{2}{3}\right), then f(1)=f(1) =

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  5. Question 5

    Trigonometry - II. This type asked 2 times: 13 Apr 2026 S1, 20 Apr 2026 S1. This one: 20 Apr 2026 S1 See all 2 of this type

    55
    The value of cos⁡15∘−sin⁡15∘\cos 15^\circ - \sin 15^\circ is ......

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