if the coordinates of the centre , a foucs and adjacent vertex are `(2,-3),(3,-3) and (4,-3)` respectively , then the equation of the ellipse Is

If the focus,center and eccentricity of ellipse are (3,4),(2,3) and (1)/(2) respectively.Then equation of the ellipse is?

Find the coordinates of the third vertex of a triangle whose two vertices and centroid are (0,0),(5,6) and (0,3) respectively.

If the vertex and focus of a parabola are (3, 3) and (-3, 3) resepectively, then its equation, is

If the vertex and focus of a parabola are (3,3) and (-3,3) respetively,then its equation is

In a triangle ABC,co-ordinate of orthocentre,centroid and vertex A are (3,2),(3,1) and (1,2) respectively.Then x - coordinate of vertex B, is

The coordinates of the positions of particles of mass 7, 4 and 10 gm are (1, 5,-3) , (2, 5, 7) and (3, 3,-1) respectively. Find the position of the centre of mass of the system?

In a triangle,ABC,the equation of the perpendicular bisector of AC is 3x-2y+8=0. If the coordinates of the points A and B are (1,-1)&(3,1) respectively,then the equation of the line BC & the centre of the circum-circle of the triangle ABC will be