Equation Of A Common Tangent To The Curves y2 = 8x and xy = –1 Is 

If P, Q, R are three points on a parabola y² = 4ax whose ordinates are in geometrical progression, then the tangents at P and R meet on

If L₁ and L₂ are the length of the segments of any focal chord of the parabola y² = x, then  is equal to

The tangents at three points A, B, C on the parabola y² = 4x, taken in pairs intersect at the points P, Q and R. If  be the areas of the triangles ABC and PQR respectively, then 

The locus of the mid-point of the line segment joining the focus to a moving point on the parabola y² = 4ax is another parabola with directrix

The tangent at the point P(x₁, y₁) to the parabola y² = 4ax meets the parabola y² = 4a(x + b) at Q and R, the coordinates of the mid-point of QR are  

Consider a parabola y² = 4ax, the length of focal chord is l and the length of the perpendicular from vertex to the chord is pthen

Tangent are drawn to a parabola from a point T. If P, Q are the points of constant then perpendicular distance from P, T and Q upon the tangent at the vertex of the parabola are in.

Chord of the parabola  which subtend right angle at vertex pass through