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Show that the equation of normal at any ...

Show that the equation of normal at any point t on the curve `x=3cost-cos^3t` and `y=3sint-sin^3t` is `4(ycos^3t-xsin^3t)=3sin4tdot`

Answer

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Knowledge Check

  • The equation of tangent to the curve x=a cos^(3)t ,y=a sin^(3) t at 't' is

    A
    `x sec t- y "cosec" t=a`
    B
    `x sec t+ y "cosec" t=a`
    C
    `x "cosec"t+y cos t=a`
    D
    `x sec t+ y cos t =-a `

  • Equation of tangent to the curve x = a cos^3 t, y=asin^3t at 't' is

    A
    x sec t-y cosec t =a
    B
    x sec t + y cosec t =a
    C
    `xcosect+ycosect=a`
    D
    None of these

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    Find the equations of the tangent and the normal at the point ' t ' on the curve x=a\ s in^3t , y=b\ cos^3t .

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    Find the equation of the tangent and the normal at the point 't' on the curve x=a(t+sint), y=a(1-cost)

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