If the coordinates of the ends of a focal chord of the parabola x^2=4 ay are (x₁, y₁ ) and (x₂, y₂ ) , then

Step-by-step solution

Given parabola, x^2=4 a y Let point on parabola is (2 a t₁, a t₁^2 ) and (2 a t₂, a t₂^2 ) Now, (2 a t₁, a t₁^2 ) and (2 a t₂, a t₂^2 ) are end points of a focal chord of parabola. array rlrl & & t₁ t₂ & =-1 & & y₁ y₂ & = (a t₁^2 ) (a t₂ )^2 & & =a^2 (t₁ t₂ )^2=a^2(-1)^2 & & y₁ y₂ & =a^2 array