In an acute triangle `A B C` , if the coordinates of orthocentre `H` are `(4,b)` , of centroid `G` are `(b ,2b-8)` , and of circumcenter `O` are `(-4,8)` , then `b` cannot be

In an acute triangle A B C , if the coordinates of orthocentre H are (4,b) , of centroid G are (b ,2b-8) and of circumcenter S are (-4,8) , then b cannot be (a) 4 (b) 8 (c) 12 (d) -12

ABC is an acute angled triangle with circumcenter O and orthocentre H. If AO=AH, then find the angle A.

A B C is an isosceles triangle. If the coordinates of the base are B(1,3) and C(-2,7) , the coordinates of vertex A

The coordinate of the vertices B and C of the triangle ABC are (5,2,8) and (2, -3, 4) respectively, if the coordinates of the centroid of the triangle are (3, -1,3), then the coordinates of the vertex A are-

If (1,4) is the centroid of a triangle and the coordinates of its any two vertices are (4,-8) and (-9,7), find the area of the triangle.

The coordinates of the centroid of the triangle ABC are ( 1 , 1, 1) , if the coordinates of B and C are ( 1 , 1, 2) and ( -1 , 7 , -6) respectively , then find the coordiantes of the vertex A .

In triangle A B C , the equation of side B C is x-y=0. The circumcenter and orthocentre of triangle are (2, 3) and (5, 8), respectively. The equation of the circumcirle of the triangle is a) x^2+y^2-4x+6y-27=0 b) x^2+y^2-4x-6y-27=0 c) x^2+y^2+4x-6y-27=0 d) x^2+y^2+4x+6y-27=0

In a triangle ABC, coordinates of A are (1,2) and the equations of the medians through B and C are x+y=5 and x=4 respectively. Find the coordinates of B and C.

Find the orthocentre of Delta A B C with vertices A(1,0),B(-2,1), and C(5,2)

Using integration find the area of the triangle whose vertices are A(-4,3) ,B ( 3,4) and C( 8,6)