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Day 351: JEE Mains Maths

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

  1. Question 1

    Statistics. Asked once: 26 Jun 2022 (same type asked 5 times) See all 5 of this type

    78
    The mean of the numbers a,b,8,5,10a,b,8,5,10 is 6 and their variance is 6.8. If MM is the mean deviation of the numbers about the mean, then 25M25M is equal to:

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  2. Question 2

    Vector Algebra. Asked once: 2021 Paper 22 (same type asked 5 times) See all 5 of this type

    66
    Let a→\overrightarrow{a} and b→\overrightarrow{b} be two vectors such that ∣2a→+3b→∣=∣3a→+b→∣|2\overrightarrow{a}+ 3\overrightarrow{b}| = |3\overrightarrow{a}+\overrightarrow{b}| and the angle between a→\overrightarrow{a} and b→\overrightarrow{b} is 60∘60^{\circ}. If 18a→\frac{1}{8}\overrightarrow{a} is a unit vector, then ∣b→∣|\overrightarrow{b}| is equal to:

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  3. Question 3

    Definite Integration. Asked once: 2021 Paper 24 (same type asked 5 times) See all 5 of this type

    79
    The function f(x)f(x), that satisfies the condition f(x)=x+∫0π/2sin⁡x⋅cos⁡yf(y)dyf(x) =x+\int_{0}^{\pi/2} \sin x\cdot \cos yf(y)dy, is :

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  4. Question 4

    Relations and Functions. Asked once: 14 Jun 2022 (same type asked 5 times) See all 5 of this type

    78
    The domain of the function f(x)=cos⁡−1(x2−5x+6x2−9)log⁡e(x2−3x+2)f(x) =\frac{\cos^{- 1}\left( \frac{x^{2}- 5x+ 6}{x^{2}- 9} \right)}{\log_{e}\left( x^{2}- 3x+ 2 \right)} is

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  5. Question 5

    Probability. Asked once: 2021 Paper 17 (same type asked 5 times) See all 5 of this type

    66
    A student appeared in an examination consisting of 8 true-false type questions. The student guesses the answers with equal probability. The smallest value of nn, so that the probability of guessing at least ' nn ' correct answers is less than 12\frac{1}{2}, is:

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