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Prove that the curve represented by x=3(...

Prove that the curve represented by `x=3(cost+sint),y=4(cost-sint),t in R ,` is an ellipse

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Prove that the curves x=4 (costheta+sintheta) and y=3 (costheta-sintheta) represents an ellipse.

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Knowledge Check

  • The curve represented by x=3 (cost +sin t), y = 4(cost - sint) is

    A
    ellipse
    B
    parabola
    C
    hyperbola
    D
    circle

  • The curve represented by x = 3 (cost + sint), y = 4(cost – sint) , is

    A
    ellipse
    B
    parabola
    C
    hyperbola
    D
    circle

  • The curve represented by x = 3 (cos t + sin t), y = 4 (cos t- sin t) is an ellipse whose eccentricity is e, such that 16e^2 + 7 is equal to:

    A
    14
    B
    12
    C
    11
    D
    21

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    If x=sint,y=cospt , then

    The length of tangent to the curve y^(3)=a(cost+log tan.(t)/(2)),y=a(sint), is

    The length of the normal at t on the curve x=a(t+sint), y=a(1-cos t), is

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