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Day 146: JEE Mains Maths

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

  1. Question 1

    Application of Derivatives. Asked once: 29 Jan 2024 (same type asked 6 times) See all 6 of this type

    166
    The function f(x)=xx2−6x−16,x∈R−{−2,8}f(x) =\frac{x}{x^{2}- 6x - 16}\mathbf{,x \in R - \{ - 2,8\}}

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  2. Question 2

    Vector Algebra. Asked once: 12 Apr 2023 (same type asked 6 times) See all 6 of this type

    66
    Let a,b,ca,b,c be three distinct real numbers, none equal to one. If the vectors ai^+j^+k^,i^+bj^+k^a\widehat{i}+\widehat{j}+\widehat{k},\widehat{i}+ b\widehat{j}+\widehat{k} and i^+j^+ck^\widehat{i}+\widehat{j}+ c\widehat{k} are coplanar, then 11−a+11−b+11−c\frac{1}{1 - a}+\frac{1}{1 - b}+\frac{1}{1 - c} is equal to

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  3. Question 3

    Probability. Asked once: 1 Feb 2023 (same type asked 6 times) See all 6 of this type

    66
    In a binomial distribution B(n,p)B(n,p), the sum and the product of the mean and the variance are 5 and 6 respectively, then 6(n+p−q)6(n + p - q) is equal to

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  4. Question 4

    Binomial Theorem. Asked once: 1 Feb 2023 (same type asked 6 times) See all 6 of this type

    83
    The remainder, when 19200+2320019^{200}+23^{200} is divided by 49, is

  5. Question 5

    Conic Sections. Asked once: 28 Jul 2022 (same type asked 6 times) See all 6 of this type

    175
    Two tangent lines l1l_{1} and l2l_{2} are drawn from the point (2,0)(2,0) to the parabola 2y2=−x2y^{2}= - x. If the lines 111_{1} and l2l_{2} are also tangent to the circle (x−5)2+y2=r(x - 5)^{2}+y^{2}= r, then 17r17r is equal to