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Day 380: JEE Mains Maths

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

  1. Question 1

    Application of Integrals. Asked once: 26 Jun 2022 (same type asked 9 times) See all 9 of this type

    157
    The area of the region bounded by y2=8xy^{2}= 8x and y2=y^{2}= 16(3−x)16(3 - x) is equal to:-

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  2. Question 2

    Three Dimensional Geometry. Asked once: 23 Jan 2025 (same type asked 9 times) See all 9 of this type

    131
    The distance of the line x−22=y−63=z−34\frac{x - 2}{2}=\frac{y - 6}{3}=\frac{z - 3}{4} from the point (1,4,0)(1,4,0) along the line x1=y−22=z+33\frac{x}{1}=\frac{y - 2}{2}=\frac{z + 3}{3} is :

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  3. Question 3

    Three Dimensional Geometry. Asked once: 13 Apr 2023 (same type asked 9 times) See all 9 of this type

    158
    Let NN be the foot of perpendicular from the point PP (1,−2,3)(1, - 2,3) on the line passing through the points (4,5,8)(4,5,8) and (1,−7,5)(1, - 7,5). Then the distance of NN from the plane 2x−2y+z+5=02x - 2y + z + 5 = 0 is

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  4. Question 4

    Relations and Functions. Asked once: 6 Apr 2024 (same type asked 9 times) See all 9 of this type

    72
    Let the relations R1R_{1} and R2R_{2} on the set X={1,2,3,…,20}\mathbf{X = \{ 1,2,3,\ldots,20\}} be given by R1={(x,y):2x−3y=2}R_{1}\mathbf{= \{(x,y):2x - 3y = 2\}} and R2={(x,y):−5x+4y=0}R_{2}\mathbf{= \{(x,y): - 5x + 4y = 0\}}. If MM and NN be the minimum number of elements required to be added in R1R_{1} and R2R_{2}, respectively, in order to make the relations symmetric, then M+NM + N equals

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  5. Question 5

    Sequences and Series. Asked once: 2021 Paper 14 (same type asked 9 times) See all 9 of this type

    51
    In An A.P., S3n=3S2nS_{3n}= 3S_{2n}. Find S4nS2n\frac{S_{4n}}{S_{2n}}.

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