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Day 386: JEE Mains Maths

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

  1. Question 1

    Matrices. Asked once: 27 Jun 2022 (same type asked 6 times) See all 6 of this type

    154
    Let AA and BB be two 3×33 \times 3 matrices such that AB=IAB = I and ∣A∣=18|A| =\frac{1}{8} then ∣adj(Badj(2 A))∣|adj(Badj(2\text{ }A))| is equal to

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  2. Question 2

    Relations and Functions. Asked once: 8 Apr 2023 (same type asked 6 times) See all 6 of this type

    174
    If domain of the function log⁡e(6x2+5x+12x−1)+cos⁡−1(2x2−3x+43x−5)\log_{e}\left( \frac{6x^{2}+ 5x + 1}{2x - 1} \right)+\cos^{- 1}\left( \frac{2x^{2}- 3x + 4}{3x - 5} \right) is (α,β)∪(γ,δ](\alpha,\beta) \cup (\gamma,\delta\rbrack, then 18(α2+β2+γ2+δ2)18\left( \alpha^{2}+\beta^{2}+\gamma^{2}+\delta^{2} \right) is equal to

  3. Question 3

    Probability. Asked once: 25 Jul 2022 (same type asked 6 times) See all 6 of this type

    76
    If the sum and the product of mean and variance of a binomial distribution are 24 and 128 respectively, then the probability of one or two successes is:

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  4. Question 4

    Differential Equations. Asked once: 21 Jan 2026 S1 (same type asked 41 times) See all 41 of this type

    58
    Let y=y(x)y = y(x) be the solution curve of the differential equation (1+x2)dy+(y−tan⁡−1x)dx=0\left( 1 +x^{2} \right)dy +\left( y -\tan^{- 1}x \right)dx = 0, y(0)=1y(0) = 1. Then the value of y(1)y(1) is :

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  5. Question 5

    Three Dimensional Geometry. Asked once: 2 Apr 2025 (same type asked 33 times) See all 33 of this type

    131
    The line LlL_{l} is parallel to the vector a→=−3i^+2j^+4k^\overrightarrow{a}= - 3\widehat{i}+ 2\widehat{j}+ 4\widehat{k} and passes through the point (7,6,2)(7,6,2) and the line L2L_{2} is parallel to the vector b→=2i^+j^+3k^\overrightarrow{b}= 2\widehat{i}+\widehat{j}+ 3\widehat{k} and passes through the point (5, 3, 4). The shortest distance between the lines L1L_{1} and L2L_{2} is :

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