Prove that sum of intercepts of the tangent at any poin to the curve represented by `x = 3cos^(4)0 " & " y=3sin^(4)0` on the coordinate axis is constant.

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

Prove that the sum of the intercepts on the co-ordinate axes of any tangent to the curve x=a cos^(4)theta, y=a sin^(4) theta, 0 le theta le (pi)/(2) is equal to a .

The slope of the tangent to the curve x=2 sin ^(3) t, y=3 cos ^(3) t " at " t= (pi)/(4) is

If the tangent at any point on the curve x^4 + y^4 = c^4 cuts off intercepts a and b on the coordinate axes, the value of a^(-4/3)+b^(-4/3) is

If the tangent at any point on the curve x^4+y^4=a^4 cuts off intercepts p and q on the coordinate axes, then p^(-4//3)+q^(-4//3)=

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

Distance between the foci of the curve represented by the equation x=3+4cos theta and y=2+3sin theta