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The slope of the tangent at (x , y) to ...

The slope of the tangent at `(x , y)` to a curve passing through a point `(2,1)` is `(x^2+y^2)/(2x y)` , then the equation of the curve is

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Knowledge Check

  • The slope of tangent at (x,y) to a curve passing through (2, 1) is (x^(2)+y^(2))/(2xy) , then the equation of the curve is

    A
    `x(x^(2) + y^(2)) = 10`
    B
    `x(x^(2) - y^(2)) = 6`
    C
    `2(x^(2) - y^(2)) = 6y`
    D
    `2(x^(2) - y^(2)) = 3x`

  • The slope of the tangent at (x,y) to a curve passing through (1, pi/4) is given by y/x-cos^2y/x , then the equation of the curve is

    A
    `y=tan^(-1)[log(e/x)]`
    B
    `y=xtan^(-1)[log(x/e)]`
    C
    `y=tan^(-1)[log(e/x)]`
    D
    None of these

  • The slope of the tangent line to the curve x+y=xy at the point (2,2) is

    A
    -1
    B
    -2
    C
    -3
    D
    -4

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    The slope of the tangent at a point P(x, y) on a curve is (- (y+3)/(x+2)) . If the curve passes through the origin, find the equation of the curve.

    The slope of the tangent to the curve y=6+x-x^(2) at (2,4) is

    Slope of the tangent to the curve y=x^(2)+3 at x=2 is

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