Find the equation of locus of the point P,if the points `A(1,2),B(3,4)`are at equal distance from P.

Find the equation of the line pssing through the points P(2,1) and Q(2,-1)

Find the direction of the joining the points P(4,3,-5) and Q(-2,1,-8)

A(-5,2) and B(4,1) .find the equation of the locus of point P, which is equidistant from A and B.

P and Q are two points on the ellipse x^2/a^2+y^2/b^2=1 with eccentric angles theta_1 and theta_2 . Find the equation of the locus of the point of intersection of the tangents at P and Q if theta_1+theta_2=pi/2 .

Find the distance of point Z(-2.4,-1) from the origin.

Find the values of 'a'and 'b',if the points (3,2),(-1,-2) lie on the locus ax+by=5

Find the distance between each of the following pairs of the points: A(2,3), B(4,1)