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Day 416: JEE Mains Maths

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

  1. Question 1

    Determinants. Asked once: 2021 Paper 22 (same type asked 14 times) See all 14 of this type

    73
    If the following system of linear equations
    2x+y+z=52x + y + z = 5
    x−y+z=3x - y + z = 3
    x+y+az=bx + y + az = b
    has no solution, then :

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  2. Question 2

    Statistics. Asked once: 2021 Paper 11 (same type asked 13 times) See all 13 of this type

    44
    The mean of 6 distinct observations is 6.5 and their variance is 10.25. If 4 out of 6 observations are 2 , 4,5 and 7 , then the remaining two observations are:

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  3. Question 3

    Differential Equations. Asked once: 2021 Paper 11 (same type asked 13 times) See all 13 of this type

    56
    Let y=y(x)y=y(x) be the solution of the differential equation ex1−y2dx+(yx)dy=0,y(1)=−1e^{x}\sqrt{1 -y^{2}}dx+\left( \frac{y}{x} \right)dy= 0,y(1) = - 1. Then the value of (y(3))2(y(3))^{2} is equal to:

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  4. Question 4

    Statistics. Asked once: 2021 Paper 18 (same type asked 13 times) See all 13 of this type

    62
    The mean and standard deviation of 20 observations were calculated as 10 and 2.5 respectively. It was found that by mistake one data value was taken as 25 instead of 35. If α\alpha and β\sqrt{\beta} are the mean and standard deviation respectively for correct data, then (α,β)(\alpha,\beta) is :

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  5. Question 5

    Relations and Functions. Asked once: 2021 Paper 17 (same type asked 13 times) See all 13 of this type

    75
    Let NN be the set of natural numbers and a relation RR on NN be defined by R={(x,y)∈N×N:x3−3x2y−xy2+3y3=0}R =\left\{ (x,y) \in N \times N:x^{3}- 3x^{2}y -xy^{2}+ 3y^{3}= 0 \right\}. Then the relation RR is:

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