True or False:
The parabolas `y^2 = 4x` and `x^2 = 4y` intersect in the points (0,0) and (4,4).

The directrix of the parabola y^(2) + 4x + 3 = 0 is :

Find the focus of the parabola x^2=4y

Find the area enclosed by the parabola x^2 = 4y and the lines x= 4y-2.

Find a point on the parabola y =(x-3)^2 , where the tangent is parallel to the line joining (3,0) and (4,1).

Statement I the equation of the common tangent to the parabolas y^2=4x and x^2=4y is x+y+1=0 . Statement II Both the parabolas are reflected to each other about the line y=x .

Find a point on the parabola y = (x-2)^2 , where the tangent is parallel to the chord joining (2,4) and (4,4)

Let (x,y) be any point on the parabola y^2= 4x . Let P be the point that divides the line segment from (0, 0) to (x, y) in the ratio 1 : 3. Then the locus of P is:

Find the area of the region included between the parabolas y^2= 4ax and x^2= 4ay, a gt 0 .