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Day 355: JEE Mains Maths

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

  1. Question 1

    Differential Equations. Asked once: 2021 Paper 9 (same type asked 5 times) See all 5 of this type

    61
    The differential equation satisfied by the system of parabolas y2=4a(x+a)y^{2}= 4a(x+a) is :

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  2. Question 2

    Three Dimensional Geometry. Asked once: 2021 Paper 10 (same type asked 5 times) See all 5 of this type

    89
    Let PP be a plane containing the line x−13=y+64=z+52\frac{x - 1}{3}=\frac{y + 6}{4}=\frac{z + 5}{2} and parallel to the line x−34=y−2−3=z+57\frac{x- 3}{4}=\frac{y- 2}{- 3}=\frac{z+ 5}{7}. If the point (1,−1,α)(1, - 1,\alpha) lies on the plane PP, then the value of ∣5α∣|5\alpha| is equal to

  3. Question 3

    Differential Equations. Asked once: 2021 Paper 4 (same type asked 5 times) See all 5 of this type

    90
    If the curve y=y(x)y=y(x) is the solution of the differential equation (2xy2−y) dx+x dy=0(2xy^2-y)\,dx + x\,dy = 0 which passes through the point of intersection of the lines 2x−3y=12x-3y=1 and 3x+2y=83x+2y=8, then ∣y(1)∣|y(1)| is equal to

  4. Question 4

    Quadratic Equations. Asked once: 2021 Paper 17 (same type asked 5 times) See all 5 of this type

    86
    The number of real roots of the equation e4x−e3x−4e2x−ex+1=0e^{4x}-e^{3x}- 4e^{2x}-e^{x}+ 1 = 0 is equal to

  5. Question 5

    Three Dimensional Geometry. Asked once: 2021 Paper 1 (same type asked 5 times) See all 5 of this type

    63
    The equation of the plane passing through the point (1,2,−3)(1,2, - 3) and perpendicular to the planes 3x+y−2z=53x+y- 2z= 5 and 2x−5y−z=72x- 5y-z= 7, is:

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