.Find the equation of the locus of `P` ,if `A=(4,0),B=(-4,0)` and `|PA-PB|=4`

Find the equation of the parabola with focus f(4,0) and directrix x=−4 .

Find the equation of the ellipse whose foci are (4,0) and (-4,0), eccentricity =1/3.

Find the lengths of the medians of the triangle A (0, 0, 6),B (0, 4,0) and C (6,0,0)

Find the equation of the locus of point P, the sum of whose distance from the points (2, 0, 0) and (-4, 0, 0) is 10.

Find the equation of the locus of a point P which is equidistance from the st. line 3x-4y+2=0 and the origin.

Find the equation to the locus of points equidistant from the points (-3,2),(0,4)

Let the normals at points A(4a, -4a) and B(9a, -6a) on the parabola y^(2)=4ax meet at the point P. The equation of the nornal from P on y^(2)=4ax (other than PA and PB) is

Find the equation of the locus of all points such that difference of their distances from (4, 0) and (-4, 0) is always equal to 2.

Find the equation of the locus of point P, the sum of the square of whose distances from the points A(0, 6, 0) and B(0, -6, 0) is 100.

Find the equation of the line which passes through P(1,-7) and meets the axes at A and B respectively so that 4A P-3B P=0.