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The equation of the curves through the p...

The equation of the curves through the point (1, 0) and whose slope is `(y-1)/(x^2+x)` is

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Find the equation of a curve passing through the point (0,0) and whose differential equation is y' = e^(x) sin x .

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Knowledge Check

  • The equation of the circle passing through the point (1, 1) and the points of intersection of x^2+y^2-6x+8=0 and x^2+y^2-6=0 is

    A
    `x^2+y^2+3x-5=0`
    B
    `x^2+y^2-3x+ 1 = 0`
    C
    `x^2+y^2+6x-4 = 0`
    D
    `x^2 +y^2 - 4y - 2 = 0`

  • The equation of the circle passing through the point (1 , 1) and the points of intersection of x^(2) + y^(2) - 6x - 8 = 0 and x^(2) + y^(2) - 6 = 0 is _

    A
    `x^(2) + y^(2) + 3x - 5 = 0 `
    B
    `x^(2) + y^(2) - 4x + 2 = 0 `
    C
    `x^(2) + y^(2) + 6x - 4 = 0 `
    D
    `x^(2) + y^(2) - 4y - 2 = 0 `

    • Similar Questions

    Explore conceptually related problems

    The equation of the circle passing through the point (1, 1) and the points of intersection of x^(2)+y^(2)-6x-8=0 and x^(2)+y^(2)-6=0 is

    Find the equation of the curve passing through the point (1,1) whose differential equation is x dy = (2x^(2) + 1) dx(x ne 0) .

    Find the equation of the curve passing through the point (0, (pi)/(4)) whose differential equation is sin x cox y dx + cos x sin y dy = 0.

    Find the combined equation of the pair of lines through the point (1, 0) and parallel to the lines represented by 2x^2-x y-y^2=0

    The equation of a line through the point (1, 2) whose distance from the point (3,1) has the greatest value is (a) y=2x (b) y=x+1 (c) x+2y=5 (d) y=3x-1

    Find the equation of a curve passing through the point (-2,3), given that the slope of the tangent to the curve at any point (x,y) is (2x)/(y^(2)) .

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