A(0,6) and B(2t,0), where t is a parameter midpoint of A and B is M. perpendicular bisector of AB cuts y-axis at C then Find the locus of midpoint of MC

Let A be a fixed point (0,6) and B be a moving point (2t,0). Let M be the mid-point of AB and the perpendicular bisector of AB meets the y-axis at C. The locus of the mid-point P of MC is :

Let A3(0,4) and Bs(21,0)in R. Let the perpendicular bisector of AB at M meet the y- axis at R. Then the locus of midpoint P of MR is y=x^(2)+21

Given A-=(1,1) and A B is any line through it cutting the x-axis at Bdot If A C is perpendicular to A B and meets the y-axis in C , then the equation of the locus of midpoint P of B C is x+y=1 (b) x+y=2 x+y=2x y (d) 2x+2y=1

If PN is the perpendicular from a point on a rectangular hyperbola xy=c^(2) to its asymptotes,then find the locus of the midpoint of PN

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

Let ABC be a triangle and A -= (1,2) ,y = x be the perpendicular bisector of AB and x-2y+1=0 be the perpendicular bisector of angle C . If the equation of BC is given by ax+by-5 = 0 then the value of a -2b is

Consider an ellipse (x^(2))/(4)+y^(2)=alpha(alpha is parameter >0 ) and a parabola y^(2)=8x. If a common tangent to the ellipse and the parabola meets the coordinate axes at A and B, respectively,then find the locus of the midpoint of AB.

Given that A(-3,8) and B(-5,8) Find the coordinates of midpoint of AB .