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Day 182: JEE Mains Maths

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

  1. Question 1

    Conic Sections. Asked once: 2 Apr 2025 (same type asked 3 times) See all 3 of this type

    142
    Let the point PP of the focal chord PQPQ of the parabola y2=16xy^{2}= 16x be (1,−4)(1, - 4). If the focus of the parabola divides the chord PQ in the ratio m:nm:n, gcd(m,n)=1gcd(m,n) = 1, then m2+n2m^{2}+n^{2} is equal to :

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  2. Question 2

    Inverse Trigonometric Functions. Asked once: 22 Jan 2025 (same type asked 3 times) See all 3 of this type

    55
    Using the principal values of the inverse trigonometric functions the sum of the maximum and the minimum values of 16((sec⁡−1x)2+(csc⁡−1x)2)16\left( \left( \sec^{- 1}x \right)^{2}+\left( \csc^{- 1}x \right)^{2} \right) is :

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  3. Question 3

    Relations and Functions. Asked once: 25 Jun 2022 (same type asked 3 times) See all 3 of this type

    151
    Let A={x∈R:∣x+1∣<2}A\mathbf{= \{}x\in R:|x+ 1| < 2\} and B={x∈R:∣x−1∣≥2}B\mathbf{= \{}x\in R:|x- 1| \geq 2\}. Then which one of the following statements is NOT true?

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  4. Question 4

    Definite Integration. Asked once: 29 Jan 2024 (same type asked 3 times) See all 3 of this type

    174
    If ∫π6π31−sin⁡2xdx=α+β2+γ3\int_{\frac{\pi}{6}}^{\frac{\pi}{3}} \sqrt{1 - \sin2x}dx=\alpha+\beta\sqrt{2}+\gamma\sqrt{3}, where α,β\alpha,\beta and γ\gamma are rational numbers, then 3α+4β−γ3\alpha+ 4\beta-\gamma is equal to

  5. Question 5

    Quadratic Equations. Asked once: 28 Jan 2025 (same type asked 3 times) See all 3 of this type

    65
    The sum, of the squares of all the roots of the equation x2+∣2x−3∣−4=0x^{2}+ |2x - 3| - 4 = 0, is :

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