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Day 326: JEE Mains Maths

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

  1. Question 1

    Probability. Asked once: 2021 Paper 7 (same type asked 4 times) See all 4 of this type

    69
    Two dices are rolled. If both dices have six faces numbered 1,2,3,5,7 and 11, then the probability that the sum of the numbers on the top faces is less than or equal to 8 is :

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  2. Question 2

    Differentiation. Asked once: 2021 Paper 10 (same type asked 4 times) See all 4 of this type

    87
    Let f:R→Rf:R \rightarrow R satisfy the equation f(x+y)=f(x)⋅f(y)f(x + y) = f(x)\cdot f(y) for all x,y∈Rx,y \in R and f(x)≠0f(x) \neq 0 for any x∈Rx \in R. If the function ff is differentiable at x=0x = 0 and f′(0)=3f'(0) = 3, then lim⁡h→01h(f(h)−1)\lim_{h\rightarrow 0} \frac{1}{h}\left(f(h) - 1\right) is equal to

  3. Question 3

    Straight Lines. Asked once: 2021 Paper 24 (same type asked 4 times) See all 4 of this type

    90
    A man starts walking from the point P(−3,4)P( - 3,4), touches the xx-axis at RR, and then turns to reach at the point Q(0,2)Q(0,2). The man is walking at a constant speed. If the man reaches the point QQ in the minimum time, then 50((PR)2+(RQ)2)50\left( (PR)^{2}+ (RQ)^{2} \right) is equal to

  4. Question 4

    Quadratic Equations. Asked once: 2021 Paper 23 (same type asked 4 times) See all 4 of this type

    73
    The sum of the roots of the equation x+1−2log⁡2(3+2x)+2log⁡4(10−2−x)=0x + 1 - 2\log_{2}\left( 3 +2^{x} \right)+ 2\log_{4}\left( 10 -2^{- x} \right)= 0, is:

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  5. Question 5

    Definite Integration. Asked once: 2021 Paper 2 (same type asked 4 times) See all 4 of this type

    68
    The value of the integral, ∫13[x2−2x−2]dx\int_{1}^{3} \left\lbrack x^{2}- 2x- 2 \right\rbrack dx, where [x]\lbrack x\rbrack denotes the greatest integer less than or equal to xx, is:

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