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Day 537: JEE Mains Maths

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

  1. Question 1

    Straight Lines. Asked once: 31 Jan 2024

    173
    Let A(−2,−1),B(1,0),C(α,β)A( - 2, - 1),B(1,0),C(\alpha,\beta) and D(γ,δ)D(\gamma,\delta) be the vertices of a parallelogram ABCDABCD. If the point C lies on 2x−y=52x - y = 5 and the point DD lies on 3x−2y=63x- 2y= 6, then the value of ∣α+β+γ+δ∣|\alpha+\beta+\gamma+\delta| is equal to

  2. Question 2

    Three Dimensional Geometry. Asked once: 28 Jul 2022

    76
    The foot of the perpendicular from a point on the circle x2+y2=1,z=0x^{2}+y^{2}= 1,z = 0 to the plane 2x+3y+z=62x + 3y + z = 6 lies on which one of the following curves?

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  3. Question 3

    Trigonometric Identities. Asked once: 2021 Paper 3

    72
    All possible values of θ∈[0,2π]\theta\in \lbrack 0,2\pi\rbrack for which sin⁡2θ+tan⁡2θ>0\sin2\theta+ \tan2\theta> 0 lie in:

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  4. Question 4

    Vector Algebra. Asked once: 6 Apr 2023

    168
    Let the vectors a→,b→,c→\overrightarrow{a},\overrightarrow{b},\overrightarrow{c} represent three coterminous edges of a parallelopiped of volume V. Then the volume of the parallelopiped, whose coterminous edges are represented by a→,b→+c→\overrightarrow{a},\overrightarrow{b}+\overrightarrow{c} and a→+2b→+3c→\overrightarrow{a}+ 2\overrightarrow{b}+ 3\overrightarrow{c} is equal to

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  5. Question 5

    Application of Derivatives. Asked once: 1 Feb 2023

    75
    Let f(x)=2x+tan⁡−1xf(x) = 2x +\tan^{- 1}x and g(x)=log⁡e(1+x2+x),x∈[0,3]g(x) =\log_{e}\left( \sqrt{1 +x^{2}}+ x \right),x \in \lbrack 0,3\rbrack. Then

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