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

If A(at^2, 2at), B((a)/(t^2) , - (2a)/(t)) and C(a, 0) be any three points, show that 1/(AC) + 1/(BC) is independent of t .

If A(at^2, 2at), B((a)/(t^2) , - (2a)/(t)) and C(a, 0) be any three points, show that 1/(AC) + 1/(BC) is independent of t .

If the points P (0,3,2), Q(1,2,-2) and R (4,-1,t) are collinear, find the value 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) = t^(3) -1 , find the value of p(2).

If p(t) = t^(3) -1 , find the value of p(-2).

If A=(t^(2),2t),B=((1)/(t^(2)),-(2)/(t)) and S=(1,0) then (1)/(SA)+(1)/(SB) is equal to

If t-(1)/(t)=9 ,find the value of t^(2)+(1)/(t^(2)) .