if the chord joinig the points t1 and t2 on the parabola y^2=4ax subtends a right angle at its vertex - Maths - Permutations and Combinations

Question

if the chord joinig the points t1 and t2 on the parabola y^2=4ax
subtends a right angle at its vertex then t2=?

Rahul Raj · Accepted Answer

Dear student

y2=4axpoint t1 and t2 on parabola are (at12,2at1) and (at22,2at2)vertex=(0,0)angle subtended by chord joining point t1 and t2 on parabola are (at12,2at1) and (at22,2at2) to  =π/2so product of slopes of line joining ends of chords to vertex =-12at1-0at12-0×2at2-0at22-0=-14t1t2=-1t2=-4t1

Regards

if the chord joinig the points t1 and t2 on the parabola y^2=4ax subtends a right angle at its vertex then t2=?