In fig 12.3 if P is (2,4,5) find the coordinates of F

The coordinates of the vetex A of the triangle ABC are (2,5,-3), if centroid of the triangle is at (-2,1,3), find the coordinates of the mid points on the side BC.

The straight line joining the points ( 3 , 4 , 3) and ( 2 , 1 , 5) intersects the plane 2 x + 2y - 2z = 1 at P , find the coordinates of P .

The coordinates of the mid-points of the sides of a triangle are ( 4 , 3, 4) , ( 1, 5 , -1) and ( 0 , 4 , - 2) , find the coordinates of the vertices of the triangle .

P is a point on the straight line 7x-4y-29=0 . If the foot of the perpendicular drawn from P on the line 5x+2y+18=0 be N(-2,-4) , find the coordinates of P.

Two vertices of triangle are (4 , 3 , -6) , (3 , -4 , 4) and the coordinates of its centroid are ( 2 , - 2 , 1) , find the coordinates of the third vertex of the triangle.

The coordinates of the vertex A of the triangle ABC are ( - 3 , -4, -2) , if the coordinates of its centroid are ( 1 , - 2 , 2) , then find the coordinates of the mid - point of the side overline(BC)

A point with y-coordinate 5 lies on the line-segment joining the points ( 1 , 4 , -3) and (4 , 7 , - 6) , find the coordinates of the point .

The coordinates of two vertices of a triangle are (-2,3) and (5,-1) . If the orthocentre of the triangle is at the origin , find the coordinates of its third vertex.

The eccentricity of an ellipse is (2)/(3) and the coordinates of its focus and the corresponding vertex are (1,2) and (2,2) respectively. Find the equation of the ellipse . Also find the coordinate of the point of intersection of its major axis and the directrix in the same direction .

Three vertics of a parallelogram ABCD are A(3,-1,2) ,B (1,2,-4) and C(-1,1,2) find the coordinate of the fourth vertex