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Day 340: JEE Mains Maths

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

  1. Question 1

    Sequences and Series. Asked once: 29 Jul 2022 (same type asked 8 times) See all 8 of this type

    64
    If 1(20−a)(40−a)+1(40−a)(60−a)+……+\frac{1}{(20 -a)(40 -a)}+\frac{1}{(40 -a)(60 -a)}+ \ldots\ldots + 1(180−a)(200−a)=1256\frac{1}{(180 -a)(200 -a)}=\frac{1}{256}, then the maximum value of a is :

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  2. Question 2

    Application of Integrals. Asked once: 10 Apr 2023 (same type asked 8 times) See all 8 of this type

    87
    Let y=p(x)y = p(x) be the parabola passing through the points (−1,0),(0,1)( - 1,0),(0,1) and (1,0)(1,0). If the area of the region {(x,y):(x+1)2+(y−1)2≤1,y≤p(x)}\left\{ (x,y):(x + 1)^{2}+ (y - 1)^{2}\leq 1,y \leq p(x) \right\} is AA, then 12(π−4 A)12(\pi - 4\text{ }A) is equal to

  3. Question 3

    Binomial Theorem. Asked once: 6 Apr 2023 (same type asked 7 times) See all 7 of this type

    87
    The coefficient of x18x^{18} in the expansion of (x4−1x3)15\left( x^{4}-\frac{1}{x^{3}} \right)^{15} is

  4. Question 4

    Permutations and Combinations. Asked once: 26 Jun 2022 (same type asked 7 times) See all 7 of this type

    82
    There are ten boys B1,B2,….,B10B_{1},B_{2},\ldots.,B_{10} and five girls G1G_{1}, G2,….,G5G_{2},\ldots.,G_{5} in a class. Then the number of ways of forming a group consisting of three boys and three girls, if both B1B_{1} and B2B_{2} together should not be the members of a group, is

  5. Question 5

    Relations and Functions. Asked once: 10 Apr 2023 (same type asked 7 times) See all 7 of this type

    155
    Let A={2,3,4}\mathbf{A = \{ 2,3,4\}} and B={8,9,12}\mathbf{B = \{ 8,9,12\}}. Then the number of elements in the relation
    R={((a1, b1),(a2, b2))∈(A×B,A×B):a1R =\left\{ \left( \left( a_{1},{\text{ }b}_{1} \right),\left( a_{2},{\text{ }b}_{2} \right) \right)\in (A \times B,A \times B):a_{1} \right.
    divides b2b_{2} and a2a_{2} divides  b1}\left. \ b_{1} \right\} is:

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