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 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))

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.

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

If z=2 + t + i sqrt(3-t^2) , where t is real and t^2 lt 3 , show that the modulus of (z+1)/(z-1) is independent of t. Also show that the locus of the points z for different values of t is a circle and finds its centre and radius.

If the points : A(at_(1)^(2),2at_(1)),B(at_(2)^(2),2at_(2)) and C(a,0) are collinear,then t_(1)t_(2) are equal to

Prove that the area of a triangle with vertices (t,t-2),(t+2,t+2) and (t+3,t) is independent of t .