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Day 365: JEE Mains Maths

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

  1. Question 1

    Vector Algebra. Asked once: 2021 Paper 10 (same type asked 8 times) See all 8 of this type

    73
    Let a→\overrightarrow{a} and b→\overrightarrow{b} be two non-zero vectors perpendicular to each other and ∣a→∣=∣b→∣|\overrightarrow{a}| = |\overrightarrow{b}|. If ∣a→×b→∣=∣a→∣|\overrightarrow{a}\times\overrightarrow{b}| = |\overrightarrow{a}|, then the angle between the vectors (a→+b→+(a→×b→))(\overrightarrow{a}+\overrightarrow{b}+ (\overrightarrow{a}\times\overrightarrow{b})) and a→\overrightarrow{a} is equal to:

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  2. Question 2

    Statistics. Asked once: 6 Apr 2023 (same type asked 8 times) See all 8 of this type

    180
    If the mean and variance of the frequency distribution
    xix_{i}246810121416
    fif_{i}44α\alpha158β\beta45
    are 9 and 15.08 respectively, then the value of α2+β2−αβ\alpha^{2}+\beta^{2}-\alpha\beta is

  3. Question 3

    Three Dimensional Geometry. Asked once: 28 Jul 2022 (same type asked 8 times) See all 8 of this type

    165
    Let the lines x−1λ=y−21=z−32\frac{x - 1}{\lambda}=\frac{y - 2}{1}=\frac{z - 3}{2} and x+26−2=y+183=z+28λ\frac{x + 26}{- 2}=\frac{y + 18}{3}=\frac{z + 28}{\lambda} be coplanar and PP be the plane containing these two lines. Then which of the following points does NOT lies on P?

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  4. Question 4

    Permutations and Combinations. Asked once: 29 Jan 2023 (same type asked 8 times) See all 8 of this type

    160
    The letters of the word OUGHT are written in all possible ways and these words are arranged as in a dictionary, in a series. Then the serial number of the word TOUGH is

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  5. Question 5

    Statistics. Asked once: 24 Jan 2023 (same type asked 8 times) See all 8 of this type

    164
    Let the six numbers a1,a2,a3,a4,a5,a6a_{1},a_{2},a_{3},a_{4},a_{5},a_{6}, be in A.P. and a1+a3=10a_{1}+a_{3}= 10. If the mean of these six numbers is 192\frac{19}{2} and their variance is σ2\sigma^{2}, then 8σ28\sigma^{2} is equal to:

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