if ar(`(triangle)`PQR) is zero, then the points P,Q and R are --------------.

In a triangle PQR , the co-ordinates of the points P and Q are ( -2,4) and ( 4,-2) respectively. If the equation of the perpendicular bisector of PR is 2x - y+2=0 , then the centre of the circumcircle of the Delta PQR is :

In a triangle PQR, the co- ordinates of points P, Q and R are (3, 2) , (6, 4) and (9, 3) respectively . Find the co-ordinates of centroid G. Also find areas of Delta PQG and Delta PRG .

The base QR of an equilateral triangle PQR lies on X-axis. The co-ordinates of the point Q are (-4,0) and origin is the mid-point of the base. Find the co-ordinates of the points P and R.

A straight line through the vertex P of a triangle PQR intersects the side QR at the point S and the circuecirele of the triangle PQR at the point T. If S is not the centre of the circumeircle,then

If in a triangle PQR;sin P,sin Q,sin R are in A.P; then

If the normals to the curve y=x^(2) at the points P,Q and R pas thrugh the points (0,(3)/(2)), then find circle circumsecribing the triangle PQR.

Let O(0, 0), P(3, 4), Q(6, 0) be the vertices of the triangle OPQ. The point R inside the triangle OPQ is such that the triangles OPR, PQR are of equal area. The coordinates of R are

The vertices of a triangle are the points P(-26, 17), Q(30, 17) and R(10, 2) . If G and I be the centroid and incentre of the triangle PQR, then the value of (GI)^(2) is equal to