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Day 329: JEE Mains Maths

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

  1. Question 1

    Conic Sections. Asked once: 2021 Paper 3 (same type asked 4 times) See all 4 of this type

    75
    If the curves, x2a+y2b=1\frac{x^{2}}{a}+\frac{y^{2}}{b}= 1 and x2c+y2d=1\frac{x^{2}}{c}+\frac{y^{2}}{d}= 1 intersect each other at an angle of 90∘90^{\circ}, then which of the following relations is true?

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  2. Question 2

    Three Dimensional Geometry. Asked once: 29 Jul 2022 (same type asked 4 times) See all 4 of this type

    165
    If (2,3,9),(5,2,1),(1,λ,8)(2,3,9),(5,2,1),(1,\lambda,8) and (λ,2,3)(\lambda,2,3) are coplanar, then the product of all possible values of λ\lambda is:

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  3. Question 3

    Application of Integrals. Asked once: 2021 Paper 3 (same type asked 4 times) See all 4 of this type

    82
    The graphs of y=sin⁡xy=\sin x and y=cos⁡xy=\cos x intersect at two consecutive points, and between these points the two graphs enclose an area AA. Then A4A^4 is equal to

  4. Question 4

    Permutations and Combinations. Asked once: 2021 Paper 26 (same type asked 4 times) See all 4 of this type

    81
    The total number of 4-digit numbers whose greatest common divisor with 18 is 3, is

  5. Question 5

    Conic Sections. Asked once: 2021 Paper 8 (same type asked 4 times) See all 4 of this type

    76
    Let LL be a tangent line to the parabola y2=4x−20y^{2}= 4x - 20 at (6,2)(6,2). If LL is also a tangent to the ellipse x22+y2b=1\frac{x^{2}}{2}+\frac{y^{2}}{b}= 1, then the value of bb is equal to:

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