Which one of the following equation represent parametric equation to a parabolic curve? `x=3cost ; y=4sint` `x^2-2=2cost ; y=4cos^2t/2` `sqrt(x)=tant ;sqrt(y)=sect` `x=sqrt(1-sint ;)y=sint/2+cost/2`

Which one of the following equations represented parametrically,represents equation to a parabolic profile (A) x=3cos t;y=4sin t

Find the equation of curve whose parametric equations are x=2t-3,y=4t^(2)-1 is

Find the equation of the tangent line to the following curves : x=cost, y=sint" at "t=(pi)/(4).

Find the parametric equation of the circle x^(2)+y^(2)+x+sqrt(3)y=0

For the curve represented parametrically by the equation, x=2log(cott)+1 and y=tant+cott.

Which one of the following equations parametrically represents equation to a parametric profile ? (A)    x=3cost ;   y=4sint       (B)    x^2-2=-2cost ;   y=4cos(t^2/2)        (C)    sqrt(x)=tant ;   sqrt(y)=sect       (D)    x=sqrt(1-sint) ;   y=sin(t/2)+cos(t/2)

x=3cost-2cos^(3)t,y=3sint-2sin^(3)t

The equation sqrt(x)=2y , represents that graph between x and y is a :-

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