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Day 215: JEE Mains Maths

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

  1. Question 1

    Straight Lines. Asked once: 6 Apr 2023 (same type asked 2 times) See all 2 of this type

    66
    The straight lines l1l_{1} and l2l_{2} pass through the origin and trisect the line segment of the line L: 9x+5y=459x + 5y = 45 between the axes. If m1m_{1} and m2m_{2} are the slopes of the lines l1l_{1} and l2l_{2},then the point of intersection of the line y=(m1+m2)xy =\left( m_{1}+m_{2} \right)x with LL lies on

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  2. Question 2

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

    88
    The total number of two digit numbers ' nn ', such that 3n+7n3^{n}+7^{n} is a multiple of 10 , is

  3. Question 3

    Differential Equations. Asked once: 27 Jul 2022 (same type asked 2 times) See all 2 of this type

    70
    Let y=y1(x)y =y_{1}(x) and y=y2(x)y =y_{2}(x) be two distinct solutions of the differential equation dydx=x+y\frac{dy}{dx}= x + y, with y1(0)=0y_{1}(0) = 0 and y2(0)=1y_{2}(0) = 1 respectively. Then, the number of points of intersection of y=y1(x)y =y_{1}(x) and y=y2(x)y =y_{2}(x) is

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  4. Question 4

    Probability. Asked once: 12 Apr 2023 (same type asked 2 times) See all 2 of this type

    81
    A fair n(n>1)n(n > 1) faces die is rolled repeatedly until a number less than nn appears. If the mean of the number of tosses required is n9\frac{n}{9}, then nn is equal to

  5. Question 5

    Conic Sections. Asked once: 6 Apr 2023 (same type asked 2 times) See all 2 of this type

    82
    A circle passing through the point P(α,β)P(\alpha,\beta) in the first quadrant touches the two coordinate axes at the points AA and BB. The point PP is above the line ABAB. The point QQ on the line segment ABAB is the foot of perpendicular from PP on ABAB. If PQPQ is equal to 11 units, then the value of αβ\alpha\beta is