`A=(sqrt(1-t^2)+t, 0)` and `B=(sqrt(1-t^2)-t, 2t)` are two variable points then the locus of mid-point of `AB` is

Locus of the middle points of the line segment joining P(0, sqrt(1-t^2) + t) and Q(2t, sqrt(1-t^2) - t) cuts an intercept of length a on the line x+y=1 , then a = (A) 1/sqrt(2) (B) sqrt(2) (C) 2 (D) none of these

If the co-ordinates of a point P are x = at^(2) , y = a sqrt(1 - t^(4)) , where t is a parameter , then the locus of P is a/an

If the coordinates of a vartiable point P be (t+(1)/(t), t-(1)/(t)) , where t is the variable quantity, then the locus of P is

Let z=1-t+i sqrt(t^(2)+t+2), where t is a real parameter.the locus of the z in argand plane is

I=int_(0)^(-1)(t ln t)/(sqrt(1-t^(2)))dt=

If the first point of trisection of AB is (t,2t) and the ends A,B moves on x and y axis respectively,then locus of mid point of AB is

If the first point of trisection of AB is (t,2t) and the ends A,B moves on x and y axis respectively,then locus of mid point of AB is

If the first point of trisection of AB is (t,2t) and the ends A,B moves on x and y axis respectively,then locus of mid point of AB is