The tangent at point P on the parabola `y^2=4ax` meets the Y-axis in Q. If S is the focus, show that SP subtends a right angle at Q.

The focus of the parabola y ^(2) =4y -4x is

Find the area bounded by the parabola y^2 = 4ax and the line y = 2ax .

The line y=mx+1 is tangent to the parabola y^2=4x if m is _____.

The area of the region bounded by the parabola y^(2)=4ax and the line y=mx is

The area bounded by the parabola y = 4x - x^(2) and X-axis is

The area bounded by the parabola y = 4x - x^(2) and X-axis is

If the tangent at the point P on the circle x^2+y^2+6x+6y=2 meets the straight line 5x-2y+6=0 at a point Q on the Y-axis, then the length of PQ is

The tangent to the curve y=e^(2x) at the point (0,1) meets X-axis at

The tangent to the curve y=e^(2x) at the point (0,1) meets X-axis at

If the tangent at (1, 1) on y^2 =x (2-x)^2 meets the curve again at P then P is