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Day 116: JEE Mains Maths

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

  1. Question 1

    Straight Lines. This type asked 2 times: 6 Apr 2023, 27 Jan 2024. This one: 27 Jan 2024 See all 2 of this type

    76
    The portion of the line 4x+5y=204x + 5y = 20 in the first quadrant is trisected by the lines L1L_{1} and L2L_{2} passing through the origin. The tangent of an angle between the lines L1L_{1} and L2L_{2} is:

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  2. Question 2

    Binomial Theorem. This type asked 2 times: 2021 Paper 4, 15 Apr 2023. This one: 15 Apr 2023 See all 2 of this type

    86
    The number of elements in the set {n∈N:10≤n≤100\left\{ n \in\mathbb{N}:10 \leq n \leq 100 \right. and 3n−33^{n}- 3 is a multiple of 7}\} is

  3. Question 3

    Differential Equations. This type asked 2 times: 27 Jul 2022, 13 Apr 2023. This one: 13 Apr 2023 See all 2 of this type

    79
    Let y=y1(x)y =y_{1}(x) and y=y2(x)y =y_{2}(x) be the solution curves of the differential equation dydx=y+7\frac{dy}{dx}= y + 7 with initial conditions y1(0)=0,y2(0)=1y_{1}(0) = 0,y_{2}(0) = 1 respectively. Then the curves y=y1(x)y =y_{1}(x) and y=y2(x)y =y_{2}(x) intersect at

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  4. Question 4

    Probability. This type asked 2 times: 12 Apr 2023, 13 Apr 2023. This one: 13 Apr 2023 See all 2 of this type

    66
    A coin is biased so that the head is 3 times as likely to occur as tail. This coin is tossed until a head or three tails occur. If XX denotes the number of tosses of the coin, then the mean of XX is

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  5. Question 5

    Conic Sections. This type asked 2 times: 6 Apr 2023, 12 Apr 2023. This one: 12 Apr 2023 See all 2 of this type

    90
    Two circles in the first quadrant of radii r1r_{1} and r2r_{2} touch the coordinate axes. Each of them cuts off an intercept of 2 units with the line x+y=2x + y = 2. Then r12+r22−r1r2r_{1}^{2}+r_{2}^{2}-r_{1}r_{2} is equal to