If P and Q are two points whose coordinates are `(a t^2,2a t)a n d(a/(t^2),(2a)/t)` respectively and S is the point (a,0). Show that `1/(S P)+1/(s Q)` is independent of t.

If P and Q are two points whose coordinates are (at^(2),2at) and ((a)/(t^(2)),(2a)/(t)) respectively and s is the point (a,0). Show that (1)/(SP)+(1)/(sQ) is independent of t.

If P and Q are two points whose coordinates are (at^(2),2at) and ((a)/(t^(2)),(-2a)/(t)) respectively and s is the point (a,0), show that (1)/(SP)+(1)/(SQ) is independent of t

Given P (at^(2), 2at) , Q ((a)/(t^(2)) , (-2a)/(t) ) , and S(a, 0 ) , show that (1)/(SP) + (1)/(SQ) is independent of t .

If the co-ordinates of the points P, Q, S are (at^2, 2at) , (a/t^2, (2a)/t) and (a, 0) respectively, prove that 1 /(SP) + 1/(SQ) is constant.

if P(t^(2),-2t) and Q((1)/(t^(2)),-(2)/(t)) and S(1,0) be any three points,find the value of ((1)/(SP)+(1)/(SQ))

If P(t^(2),2t),Q((1)/(t^(2)),-(2)/(t)) and S(1,0) be any three points,find the value of ((1)/(SP)+(1)/(SQ))

If P(t^(2),2t),Q((1)/(t^(2)),-(2)/(t)) and S(1,0) be any three points,find the value of ((1)/(SP)+(1)/(SQ))

Point of intersection of normal at P(t1) and Q(t2)

P and Q are two distinct points on the parabola,y^(2)=4x with parameters t and t_(1) respectively.If the normal at P passes through Q, then the minimum value of t_(1)^(2) is

P and Q are two distinct points on the parabola, y^2 = 4x with parameters t and t_1 respectively. If the normal at P passes through Q , then the minimum value of t_1 ^2 is