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Day 242: MHT-CET Maths

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

  1. Question 1

    Conic Sections. Asked once: 26 Apr 2025 S1 (same type asked 2 times) See all 2 of this type

    111
    The equation of the directrix of the parabola y2+4y+4x+2=0y^{2}+ 4y+ 4x+ 2 = 0 is

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  2. Question 2

    Determinants and Matrices. Asked once: 26 Apr 2025 S1 (same type asked 2 times) See all 2 of this type

    130
    If a‾=λxi^+yj^+4zk^\overline{a}=\lambda x\hat{i}+y\hat{j}+4z\hat{k}, b‾=yi^+xj^+3yk^\overline{b}=y\hat{i}+x\hat{j}+3y\hat{k} and c‾=−zi^−2zj^−(λ+1)xk^\overline{c}=-z\hat{i}-2z\hat{j}-(\lambda+1)x\hat{k} are the sides of the triangle ABC, where x,y,zx,y,z are not all zero, such that a‾+b‾−c‾=0‾\overline{a}+\overline{b}-\overline{c}=\overline{0}, then the value of λ\lambda is

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  3. Question 3

    Differential Equations. Asked once: 18 Apr 2026 S2 (same type asked 2 times) See all 2 of this type

    86
    A spherical raindrop evaporates at a rate proportional to its surface area. The differential equation involving the rate of change of its radius rr with time 't' is …\ldots (where kk is a positive constant)

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  4. Question 4

    Indefinite Integration. Asked once: 10 May 2023 S2 (same type asked 2 times) See all 2 of this type

    146
    ∫sin⁡−1 ⁣(2x1+x2)dx=\int\sin^{-1}\!\left(\frac{2x}{1+x^2}\right)dx =

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  5. Question 5

    Indefinite Integration. Asked once: 9 May 2024 S2 (same type asked 2 times) See all 2 of this type

    131
    ∫(tan⁡x+cot⁡x)dx=\int\left(\sqrt{\tan x} + \sqrt{\cot x}\right)dx =

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