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Day 299: JEE Mains Maths

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

  1. Question 1

    Sequences and Series. Asked once: 30 Jan 2023 (same type asked 8 times) See all 8 of this type

    69
    If an=−24n2−16n+15a_{n}=\frac{- 2}{4n^{2}- 16n + 15}, then a1+a2+⋯…+a25a_{1}+a_{2}+ \cdots\ldots +a_{25} is equal to:

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  2. Question 2

    Application of Integrals. Asked once: 11 Apr 2023 (same type asked 8 times) See all 8 of this type

    73
    Area of the region {(x,y):x2+(y−2)2≤4\left\{ (x,y):x^{2}+ (y - 2)^{2}\leq 4 \right.,  x2≥2y}\left. \ x^{2}\geq 2y \right\} is

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  3. Question 3

    Binomial Theorem. Asked once: 8 Apr 2023 (same type asked 7 times) See all 7 of this type

    155
    The absolute difference of the coefficients of x10x^{10} and x7x^{7} in the expansion of (2x2+12x)11\left( 2x^{2}+\frac{1}{2x} \right)^{11} is equal to

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  4. Question 4

    Permutations and Combinations. Asked once: 24 Jan 2023 (same type asked 7 times) See all 7 of this type

    87
    A boy needs to select five courses from 12 available courses, out of which 5 courses are language courses. If he can choose at most two language courses, then the number of ways he can choose five courses is

  5. Question 5

    Relations and Functions. Asked once: 11 Apr 2023 (same type asked 7 times) See all 7 of this type

    169
    Let A={1,3,4,6,9}\mathbf{A = \{ 1,3,4,6,9\}} and B={2,4,5,8,10}\mathbf{B = \{ 2,4,5,8,10\}}. Let RR be a relation defined on A×BA \times B such that R=R = {((a1,b1),(a2,b2)):a1≤b2\left\{ \left( \left( a_{1},b_{1} \right),\left( a_{2},b_{2} \right) \right):a_{1}\leq b_{2} \right. and  b1≤a2}\left. \ b_{1}\leq a_{2} \right\}. Then the number of elements in the set RR is

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