PYQ Vault

Day 201: JEE Mains Maths

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

  1. Question 1

    Binomial Theorem. Asked once: 30 Jan 2023 (same type asked 2 times) See all 2 of this type

    170
    x=(83+13)13x = (8\sqrt{3}+ 13)^{13} and y=(72+9)9y = (7\sqrt{2}+ 9)^{9}. If [t]\lbrack t\rbrack denotes the greatest integer ≤t\leq t, then

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  2. Question 2

    Conic Sections. Asked once: 4 Apr 2025 (same type asked 2 times) See all 2 of this type

    67
    The length of the latus-rectum of the ellipse, whose foci are (2,5)(2,5) and (2,−3)(2, - 3) and eccentricity is 45\frac{4}{5}, is.

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  3. Question 3

    Indefinite Integration. Asked once: 28 Jan 2025 (same type asked 2 times) See all 2 of this type

    136
    If f(x)=∫1x1/4(1+x1/4)dx,f(0)=−6f(x) = \int\frac{1}{x^{1/4}\left( 1 +x^{1/4} \right)}dx,f(0) = - 6, then f(1)f(1) is equal to :

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  4. Question 4

    Conic Sections. Asked once: 1 Feb 2024 (same type asked 2 times) See all 2 of this type

    73
    For 0<θ<π/20 < \theta < \pi/2, if the eccentricity of the hyperbola x2−y2csc⁡2θ=5x^{2}-y^{2}\csc^{2}\theta = 5 is 7\sqrt{7} times eccentricity of the ellipse x2csc⁡2θ+y2=5x^{2}\csc^{2}\theta +y^{2}= 5, then the value of θ\theta is :

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  5. Question 5

    Permutations and Combinations. Asked once: 25 Jun 2022 (same type asked 2 times) See all 2 of this type

    177
    The total number of three-digit numbers, with one digit repeated exactly two times, is