Find the harmonic conjugates of the point R(5, 1) with respect to the points P(2, 10) and Q(6, -2)

If image of points A and B on the line l are p and Q repsectively then PQ is equal to ________.

P, Q, R are three points in a plane. Join them in pairs. How many lines will you get if- (a) P, Q and R are not collinear. (b) P, Q and R are collinear.

The image of P(a,b) on the line y=-x is Q and the image of Q on the line y=x is R . then the midpoint of PR is

The points P,Q,R,S,T,U,A and B on the number lines are such that TR=RS=SU and AP =PQ= QB. Name the rational numbers represented by P,Q,R and S.

Show that the relation R in the set A of points in a plane given by R = {(P, Q) : distance of the point P from the origin is same as the distance of the point Q from the origin}, is an equivalence relation. Further, show that the set of all points related to a point P ne (0, 0) is the circle passing through P with origin as centre.

A straight line through the vertex P of a triangle P Q R intersects the side Q R at the points S and the cicumcircle of the triangle P Q R at the point Tdot If S is not the center of the circumcircle, then 1/(P S)+1/(S T) 2/(sqrt(Q SxxS R)) 1/(P S)+1/(S T) 4/(Q R)

In the given figure, angle PQR = 100^@ , where P, Q and R are points on a circle with centre O. Find angle OPR .

In a three-dimensional coordinate system, P ,Q ,and R are images of a point A(a ,b ,c) in the xy ,yz and zx planes, respectively. If G is the centroid of triangle P Q R , then area of triangle A O G is ( O is the origin)