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Day 276: JEE Mains Maths

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

  1. Question 1

    Conic Sections. Asked once: 22 Jan 2025 (same type asked 3 times) See all 3 of this type

    128
    Let P(4,43)P(4,4\sqrt{3}) be a point on the parabola y2=4axy^{2}= 4ax and PQPQ be a focal chord of the parabola. If MM and N are the foot of perpendiculars drawn from P and QQ respectively on the directrix of the parabola, then the area of the quadrilateral PQMN is equal to:

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  2. Question 2

    Inverse Trigonometric Functions. Asked once: 14 Jun 2022 (same type asked 3 times) See all 3 of this type

    68
    The set of all values of kk for which (tan⁡−1x)3+(cot⁡−1x)3=kπ3,x∈R\left( \tan^{- 1}x \right)^{3}+\left( \cot^{- 1}x \right)^{3}= k\pi^{3},x \in R, is the interval :

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  3. Question 3

    Relations and Functions. Asked once: 2021 Paper 20 (same type asked 3 times) See all 3 of this type

    84
    If A={x∈R:∣x−2∣>1},B={x∈R:x2−3>1}\mathbf{A = \{ x \in R:|x - 2| > 1\},B =}\left\{ x \in R:\sqrt{x^{2}- 3}> 1 \right\}, C={x∈R:∣x−4∣≥2}C\mathbf{= \{}x\in R:|x- 4| \geq 2\} and ZZ is the set of all integers, then the number of subsets of the set (A∩B∩C)C∩Z(A \cap B \cap C)^{C}\cap Z is

  4. Question 4

    Definite Integration. Asked once: 2021 Paper 25 (same type asked 3 times) See all 3 of this type

    90
    The value of the integral ∫0π∣sin⁡2x∣dx\int_{0}^{\pi} |\sin2x|dx is

  5. Question 5

    Quadratic Equations. Asked once: 6 Apr 2023 (same type asked 3 times) See all 3 of this type

    74
    The sum of all the roots of the equation ∣x2−8x+15∣−2x+7=0\left| x^{2}- 8x + 15 \right|- 2x + 7 = 0 is:

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