The maximum value of the sum of the intercepts made by any tangent to the curve `(a sin^(2)theta, 2a sin theta)` with the axes is

The maximum value of sin theta is:

For the curve x=a cos^(3) theta, y= a sin^(3) theta, the sum of the squares of the intercepts made by any tangent on the co-ordinate axes 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 maximum value of sin^(2) theta + cos^4 theta is

The maximum value of 12 sin theta-9 sin ^(2) theta is

The maximum value of 12sin theta-9sin^(2)theta is

The maximum value of 12 sin theta -9 sin ^(2) theta is

The angle made by the tangent to the curve x=a(theta + sin theta cos theta),y=a(1+ sin theta)^(2) wutg X-axis is

The equation of tangent to the curve x= sin theta and y=cos 2 theta" at "theta=(pi)/(6) is

The square of the intercept made by the circle x^(2)+y^(2)+2hx cos theta+2ky sin theta-h^(2)sin^(2)theta=0 on the x- axis is