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Day 550: JEE Mains Maths

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

  1. Question 1

    Matrices. Asked once: 30 Jan 2023

    74
    Let A=(mnpq),d=∣A∣≠0A =\begin{pmatrix} m & n \\ p & q \end{pmatrix},d = |A| \neq 0 and ∣A−d(AdjA)∣=0|A - d(AdjA)| = 0. Then

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  2. Question 2

    Permutations and Combinations. Asked once: 28 Jul 2022

    172
    A class contains bb boys and gg girls. If the number of ways of selecting 3 boys and 2 girls from the class is 168, then b+3 gb + 3\text{ }g is equal to

  3. Question 3

    Probability. Asked once: 25 Jul 2022

    158
    If AA and BB are two events such that P(A)=13,P(B)=15P(A) =\frac{1}{3},P(B) =\frac{1}{5} and  P(A∪B)=12\ P(A \cup B) =\frac{1}{2}, then P(A∣B′)+P(B∣A′)P\left( A \mid B^{'} \right)+ P\left( B \mid A^{'} \right) is equal to

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  4. Question 4

    Quadratic Equations. Asked once: 30 Jan 2023

    155
    Let qq be the maximum integral value of pp in [0,10]\lbrack 0,10\rbrack for which the roots of the equation x2−px+x^{2}- px + 54p=0\frac{5}{4}p = 0 are rational. Then the area of the region {(x,y):0≤y≤(x−q)2,0≤x≤q}\left\{ (x,y):0 \leq y \leq (x - q)^{2},0 \leq x \leq q \right\} is

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  5. Question 5

    Relations and Functions. Asked once: 30 Jan 2023

    166
    The range of the function f(x)=3−x+2+xf(x) =\sqrt{3 - x}+\sqrt{2 + x} is:

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