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Day 244: JEE Mains Maths

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

  1. Question 1

    Vector Algebra. Asked once: 5 Apr 2024 (same type asked 6 times) See all 6 of this type

    78
    If A(1,−1,2),B(5,7,−6),C(3,4,−10)A(1, - 1,2),B(5,7, - 6),C(3,4, - 10) and D(−1,−4,−2)D( - 1, - 4, - 2) are the vertices of a quadrilateral ABCDABCD, then its area is :

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  2. Question 2

    Limits and Continuity. Asked once: 29 Jan 2024 (same type asked 6 times) See all 6 of this type

    180
    Let the slope of the line 45x+5y+3=045x+ 5y+ 3 = 0 be 27r1+9r2227r_{1}+\frac{9r_{2}}{2} for some  r1, r2∈R\ r_{1},\ r_{2}\in R. Then Limx→3(∫3x8t23r2x2−r2x2−r1x3−3xdt)Lim_{x\rightarrow 3}\left( \int_{3}^{x} \frac{8t^{2}}{\frac{3r_{2}x}{2}-r_{2}x^{2}-r_{1}x^{3}- 3x}dt \right) is equal to

  3. Question 3

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

    156
    The function f(x)=xex(1−x),x∈Rf(x) =xe^{x(1 - x)},x \in R, is

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  4. Question 4

    Vector Algebra. Asked once: 8 Apr 2023 (same type asked 6 times) See all 6 of this type

    164
    Let the vectors u→1=i^+j^+ak^,u→2=i^+bj^+k^{\overrightarrow{u}}_{1}=\widehat{i}+\widehat{j}+ a\widehat{k},{\overrightarrow{u}}_{2}=\widehat{i}+ b\widehat{j}+\widehat{k} and u→3=i^+j^+k^{\overrightarrow{u}}_{3}=\widehat{i}+\widehat{j}+\widehat{k} be coplanar. If the vectors v→1=(a+b)i^+cj^+ck^, v→2=ai^+(b+c)j^+ak^{\overrightarrow{v}}_{1}= (a + b)\widehat{i}+ c\widehat{j}+ c\widehat{k},\ {\overrightarrow{v}}_{2}= a\widehat{i}+ (b + c)\widehat{j}+ a\widehat{k} and v→3=bi^+bj^+(c+a)k^{\overrightarrow{v}}_{3}= b\widehat{i}+ b\widehat{j}+ (c + a)\widehat{k} are also coplanar, then 6(a+6(a + b+cb + c ) is equal to

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  5. Question 5

    Probability. Asked once: 29 Jul 2022 (same type asked 6 times) See all 6 of this type

    171
    The sum and product of the mean and variance of a binomial distribution are 82.5 and 1350 respectively. Then the number of trials in the binomial distribution is: