If `y+3=m_1(x+2)` and `y+3=m_2(x+2)` are two tangents to the parabola `y^2=8x ,` then

If y=m_1x+c and y=m_2x+c are two tangents to the parabola y^2+4a(x+a)=0 , then

If y=2x-3 is tangent to the parabola y^2=4a(x-1/3), then a is equal to

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

Find the equation of the tangent at t =2 to the parabola y^(2) = 8x .

The vertex of the parabola x^(2)=8y-1 is :

y^(2)=4xandy^(2)=-8(x-a) intersect at points A and C. Points O(0,0), A,B (a,0), and c are concyclic. Tangents to the parabola y^(2)=4x at A and C intersect at point D and tangents to the parabola y^(2)=-8(x-a) intersect at point E. Then the area of quadrilateral DAEC is

Find the equation of the tangent to the parabola y=x^2-2x+3 at point (2, 3).

The line x - y + 2 = 0 touches the parabola y^2 = 8x at the point

The point of contact of the tangent 2x+3y+9=0 to the parabola y^(2)=8x is:

Two straight lines (y-b)=m_1(x+a) and (y-b)=m_2(x+a) are the tangents of y^2=4a x. Prove m_1m_2=-1.