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The angle made by the tangent of the cur...

The angle made by the tangent of the curve `x = a (t + sint cost)`, `y = a (1+sint)^(2)` with the x-axis at any point on it is

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Knowledge Check

  • The slope of the tangent to the curve x= 3t^(2) +1 , y=t^(3)-1 at x=1 is-

    A
    `(1)/(2)`
    B
    0
    C
    -2
    D
    undefined

  • The angle between the tangents to the curves y=x^(2)andx=y^(2) at (1,1) is -

    A
    `cot^(-1)""(4)/(5)`
    B
    `sin^(-1)""(3)/(5)`
    C
    `tan^(-1)""(3)/(4)`
    D
    `tan^(-1)""(1)/(3)`

  • The line y = x + 1 is a tangent to the curve y^(2) = 4x at the point

    A
    (1, 2)
    B
    (2, 1)
    C
    (1, – 2)
    D
    (– 1, 2)

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    Find the slope of tangent of the curve 3x^3+2x+y=0 at the point (1,-1)

    The angle between the tangents to the curves y=sin x and y = cos x at their point of intersection is

    The slope of the tangent to the curve x= t^(2)+3t-8,y=2t^(2)-2t-5 at the point (2,-1) is

    The equation of the tangent to the curve (1+ x^(2) )y = 2- x where it crosses the x -axis is-

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