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Day 363: JEE Mains Maths

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

  1. Question 1

    Application of Integrals. Asked once: 27 Jul 2022 (same type asked 9 times) See all 9 of this type

    158
    The area of the region enclosed by y≤4x2,x2≤9yy \leq 4x^{2},x^{2}\leq 9y and y≤4y \leq 4, is equal to:

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  2. Question 2

    Three Dimensional Geometry. Asked once: 28 Jan 2025 (same type asked 9 times) See all 9 of this type

    133
    The square of the distance of the point (157,327,7)\left( \frac{15}{7},\frac{32}{7},7 \right) from the line x+13=y+35=z+57\frac{x + 1}{3}=\frac{y + 3}{5}=\frac{z + 5}{7} in the direction of the vector i^+4j^+7k^\widehat{i}+ 4\widehat{j}+ 7\widehat{k} is :

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  3. Question 3

    Three Dimensional Geometry. Asked once: 30 Jan 2024 (same type asked 9 times) See all 9 of this type

    70
    Let (α,β,γ)(\alpha,\beta,\gamma) be the foot of perpendicular from the point (1,2,3)(1,2,3) on the line x+35=y−12=z+43\frac{x+3}{5}=\frac{y-1}{2}=\frac{z+4}{3}. Then 19(α+β+γ)19(\alpha+\beta+\gamma) is equal to:

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  4. Question 4

    Relations and Functions. Asked once: 3 Apr 2025 (same type asked 9 times) See all 9 of this type

    55
    Let A={−3,−2,−1,0,1,2,3}A=\{-3,-2,-1,0,1,2,3\}. Let RR be a relation on AA defined by xRyxRy if and only if 0≤x2+2y≤40\leq x^{2}+2y\leq 4. Let ll be the number of elements in RR and mm be the minimum number of elements required to be added in RR to make it a reflexive relation. Then l+ml+m is equal to.

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  5. Question 5

    Sequences and Series. Asked once: 2021 Paper 23 (same type asked 9 times) See all 9 of this type

    75
    Let a1,a2,a3,…a_{1},a_{2},a_{3},\ldots be an A.P. If a1+a2+…+a10a1+a2+…+ap=100p2,p≠10\frac{a_{1}+a_{2}+ \ldots +a_{10}}{a_{1}+a_{2}+ \ldots +a_{p}}=\frac{100}{p^{2}},p\neq 10, then a11a10\frac{a_{11}}{a_{10}} is equal to :

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