• The angle between the tangents to the parabola y²=4axat the points where it intersects with the line x-y-a=0 is a]3.14/3

b]3.14/4
c]3.14/6
d]3.14/2

• ​The area of the triangle formed by the tangent and the normal to the parabola y²=4ax,both drawn at the same end of the latusrectum, and the axis of the parabola is

a]2.82a²
b]2a²
c]4a²
d]none of these

• ​y=x+2 is any tangent to the parabola y²=8x. The point P on this tangent is such that the other tangent from it which is perpendicular it is

a](2,4)
b](-2,0)
c](-1,1)
d](2,0)

• Angle between the tangents to the curve y=x²-5x+6 at the points (2,0) and (3,0) is

a]3.14/2
b]3.14/3
c]3.14/6
d]3.14/4

• Radius of the circle that passes through origin and touches the parabola y²=4ax at the point (a,2a) is

a]3.546a
b]2.82a
c]1.58a
d]2.12a

• The mirror image of the parabola y²=4x in the tangent to the parabola at the point (1,2) is

a](x-1)²=4(y+1)
b](x+1)2=4(y+1)
c](x+1)²=4(y-1)
d](x-1)²=4(y-1)

• If the line x+y=1 touches the parabola y²-y+x=0, then the coordinates of the point of contract are

a](1,1)
b](0.5,0.5)
c](0,1)
d](1,0)