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Day 372: JEE Mains Maths

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

  1. Question 1

    Straight Lines. Asked once: 2021 Paper 3 (same type asked 6 times) See all 6 of this type

    73
    The image of the point (3,5)(3,5) in the line x−y+1=0x-y+ 1 = 0, lies on:

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  2. Question 2

    Inverse Trigonometric Functions. Asked once: 2021 Paper 19 (same type asked 6 times) See all 6 of this type

    68
    The domain of the function csc⁡−1(1+xx)\csc^{- 1}\left( \frac{1 + x}{x} \right) is :

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  3. Question 3

    Relations and Functions. Asked once: 31 Jan 2023 (same type asked 6 times) See all 6 of this type

    74
    Let RR be a relation on N×NN \times N defined by (a,b)R(c,d)(a,b)R(c,d) if and only if ad(b−c)=bc(a−d)ad(b - c) = bc(a - d). Then RR is

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  4. Question 4

    Definite Integration. Asked once: 2021 Paper 5 (same type asked 6 times) See all 6 of this type

    82
    Let f:(0,2)→Rf:(0,2)\rightarrow\mathbb{R} be defined as f(x)=log⁡2(1+tan⁡(πx4))f(x)=\log_2\left(1+\tan\left(\frac{\pi x}{4}\right)\right). Then lim⁡n→∞2n(f(1n)+f(2n)+…+f(nn))\lim_{n\rightarrow\infty}\frac{2}{n}\left(f\left(\frac{1}{n}\right)+f\left(\frac{2}{n}\right)+\ldots+f\left(\frac{n}{n}\right)\right) is equal to ______.

  5. Question 5

    Vector Algebra. Asked once: 1 Feb 2023 (same type asked 6 times) See all 6 of this type

    90
    A(2,6,2),B(−4,0,λ),C(2,3,−1)A(2,6,2),B( - 4,0,\lambda),C(2,3, - 1) and D(4,5,0),∣λ∣≤5D(4,5,0),|\lambda| \leq 5 are the vertices of a quadrilateral ABCDABCD. If its area is 18 square units, then 5−6λ5 - 6\lambda is equal to