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Day 392: JEE Mains Maths

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

  1. Question 1

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

    152
    Consider the line LL passing through the points (1,2,3)(1,2,3) and (2,3,5)(2,3,5). The distance of the point (113,113,193)\left( \frac{11}{3},\frac{11}{3},\frac{19}{3} \right) from the line LL along the line 3x−112=3y−111=3z−192\frac{3x - 11}{2}=\frac{3y - 11}{1}=\frac{3z - 19}{2} is equal to:

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  2. Question 2

    Three Dimensional Geometry. Asked once: 25 Jan 2023 (same type asked 9 times) See all 9 of this type

    153
    The foot of perpendicular of the point (2,0,5)(2,0,5) on the line x+12=y−15=z+1−1\frac{x + 1}{2}=\frac{y - 1}{5}=\frac{z + 1}{- 1} is (α,β,γ)(\alpha,\beta,\gamma). Then, which of the following is NOT correct?

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  3. Question 3

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

    152
    Let A={1,2,3,4,5}\mathbf{A = \{ 1,2,3,4,5\}}. Let RR be a relation on AA defined by xRyxRy if and only if 4x≤5y4x \leq 5y. Let mm be the number of elements in RR and nn be the minimum number of elements from A×AA \times A that are required to be added to RR to make it a symmetric relation. Then m+nm + n is equal to:

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  4. Question 4

    Sequences and Series. Asked once: 2021 Paper 13 (same type asked 9 times) See all 9 of this type

    45
    Let sns_{n} denote sum of first nn-terms of ap, s10=530s_{10}= 530, s5=140s_{5}= 140, then s20−s6s_{20}-s_{6} is equal to

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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

    57
    If (1+23+632+1033…∞)log⁡(0.25)(13+132+133…∞)=l\left( 1 +\frac{2}{3}+\frac{6}{3^{2}}+\frac{10}{3^{3}}\ldots\infty \right)^{\log_{\left( 0.25 \right)}\left( \frac{1}{3}+\frac{1}{3^{2}}+\frac{1}{3^{3}}\ldots\infty \right)}=l then find l2l^{2}