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Day 493: JEE Mains Maths

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

  1. Question 1

    Relations and Functions. Asked once: 22 Jan 2025

    138
    Let A={1,2,3,4}\mathbf{A = \{ 1,2,3,4\}} and B={1,4,9,16}\mathbf{B = \{ 1,4,9,16\}}. Then the number of many-one functions f:A→Bf:A \rightarrow B such that 1∈f(A)1 \in f(A) is equal to :

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  2. Question 2

    Sequences and Series. Asked once: 21 Jan 2026 S2

    62
    Let a1,a22,a322,…,a1029a_{1},\frac{a_{2}}{2},\frac{a_{3}}{2^{2}},\ldots,\frac{a_{10}}{2^{9}} be a G.P. of common ratio 12\frac{1}{\sqrt{2}}. If a1+a2+…+a10=62a_{1}+a_{2}+ \ldots +a_{10}= 62, then a1a_{1} is equal to :

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  3. Question 3

    Statistics. Asked once: 2021 Paper 5

    64
    Consider three observations a,ba,b and cc such that b=a+cb = a + c. If the standard deviation of a+2a + 2, b+2,c+2b+ 2,c+ 2 is dd, then which of the following is true?

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  4. Question 4

    Straight Lines. Asked once: 2 Apr 2025

    149
    Let A(4,−2),B(1,1)A(4, - 2),B(1,1) and C(9,−3)C(9, - 3) be the vertices of a triangle ABCABC. Then the maximum area of the parallelogram AFDE , formed with vertices D,ED,E and FF on the sides BC,CABC,CA and ABAB of the triangle ABC respectively, is

  5. Question 5

    Three Dimensional Geometry. Asked once: 8 Apr 2023

    89
    Let λ1,λ2\lambda_{1},\lambda_{2} be the values of λ\lambda for which the points (52,1,λ)\left( \frac{5}{2},1,\lambda \right) and (−2,0,1)( - 2,0,1) are at equal distance from the plane 2x+3y−6z+7=02x + 3y - 6z + 7 = 0. if λ1>λ2\lambda_{1}>\lambda_{2}, then the distance of the point (λ1−λ2,λ2,λ1)\left( \lambda_{1}-\lambda_{2},\lambda_{2},\lambda_{1} \right) from the line x−51=y−12=z+72\frac{x - 5}{1}=\frac{y - 1}{2}=\frac{z + 7}{2} is