The coordinates of a moving point P are `(2t^2+4,4t+6)`; show that the locus of P is a parabola.

The coordinates of a moving point p are (2t^(2) + 4, 4t+6) . Then its locus will be a

The coordinates of a moving point P are (at^(2),2at) , where t is a variable parameter . Find the equation to the locus of P.

The coordinates of a moving point P are (at^(2),2at), whereis a variable parameter.Find the equation to the locus of P.

The coordinates of a moving point P are (ct+(c)/(t),ct-(c)/(T)) , where t is a variable parameter . Find the equation to the locus of P.

The coordinates of moving point P are ((2t+1)/(3t-2),(t-1)/(t+1)) , where t is a variable parameter . Find the equation to the locus of P.

The angle between a pair of tangents drawn from a point P to the parabola y^2= 4ax is 45^@ . Show that the locus of the point P is a hyperbola.

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

The coordinates of a particle moving in XY-plane vary with time as x= 4t^(2), y= 2t . The locus of the particle is a : -

The coordinates of a particle moving in XY-plane vary with time as x= 4t^(2), y= 2t . The locus of the particle is a : -