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Day 455: JEE Mains Maths

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

  1. Question 1

    Statistics. Asked once: 31 Jan 2024

    79
    Three rotten apples are accidently mixed with fifteen good apples. Assuming the random variable xx to be the number of rotten apples in a draw of two apples, the variance of xx is

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  2. Question 2

    Straight Lines. Asked once: 4 Apr 2026 S1

    62
    Let the vertex A of a triangle ABC be (1, 2), and the mid-point of the side AB be (5,−1)(5, - 1). If the centroid of this triangle is (3,4)(3,4) and its circumcenter is (α,β)(\alpha,\beta), then 21(α+β)21(\alpha+\beta) is equal to:

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  3. Question 3

    Three Dimensional Geometry. Asked once: 2 Apr 2025

    68
    Let ABCDABCD be a tetrahedron such that the edges AB,ACAB,AC and AD are mutually perpendicular. Let the areas of the triangles ABC,ACDABC,ACD and ADB be 5,6 and 7 square units respectively. Then the area (in square units) of the △BCD\bigtriangleup BCD is equal to :

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  4. Question 4

    Trigonometric Equations. Asked once: 5 Apr 2024

    173
    The number of solutions of sin⁡2x+(2+2x−x2)sin⁡x−3(x−1)2=0\sin^{2}x +\left( 2 + 2x -x^{2} \right)\sin x - 3(x - 1)^{2}= 0, where −π≤x≤π- \pi \leq x \leq \pi, is

  5. Question 5

    Trigonometric Identities. Asked once: 28 Jan 2026 S1

    54
    If tan⁡(A−B)tan⁡A+sin⁡2Csin⁡2A=1, A,B,C∈(0,π2)\frac{\tan(A - B)}{\tan A}+\frac{\sin^{2}C}{\sin^{2}A}= 1,\ A,B,C \in\left( 0,\frac{\pi}{2} \right), then

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