B and C are fixed points having co-ordinates (3,0) and (-3,0) respectively. If the vertical angle BAC is `90^@`, then the locus of the centroid of the `Delta ABC` has the equation

Ba n dC are fixed points having coordinates (3, 0) and (-3,0), respectively. If the vertical angle B A C is 90^0 , then the locus of the centroid of A B C has equation. (a) x^2+y^2=1 (b) x^2+y^2=2 (c) 9(x^2+y^2)=1 (d) 9(x^2+y^2)=4

Ba n dC are fixed points having coordinates (3, 0) and (-3,0), respectively. If the vertical angle B A C is 90^0 , then the locus of the centroid of A B C has equation. (a) x^2+y^2=1 (b) x^2+y^2=2 (c) 9(x^2+y^2)=1 (d) 9(x^2+y^2)=4

Ba n dC are fixed points having coordinates (3, 0) and (-3,0), respectively. If the vertical angle B A C is 90^0 , then the locus of the centroid of A B C has equation. (a)x^2+y^2=1 (b) x^2+y^2=2 (c)9(x^2+y^2)=1 (d) 9(x^2+y^2)=4

Ba n dC are fixed points having coordinates (3, 0) and (-3,0), respectively. If the vertical angle B A C is 90^0 , then the locus of the centroid of A B C has equation. (a) x^2+y^2=1 (b) x^2+y^2=2 (c) 9(x^2+y^2)=1 (d) 9(x^2+y^2)=4

A=(1,2),B(3,4) and the locus of C is 2x+3y=5 then the locus of the centroid of Delta ABC is

ABC is a variable triangle with the fixed vertex C(1,2) and A,B having the coordinates (cos t,sin t), (sin t, -cos t) respectively where t is a parameter. Find the locus of the centroid of the DeltaABC .

A and B are two fixed points whose co-ordinates are (3,2) and (5,4) respectively. The co-ordinates of a point P if ABP is an equilateral triangle , are :

A (1, 4), B (3, 2) and C (7,5) are vertices of a triangle ABC. Find : the co-ordinates of the centroid of triangle ABC.

Points A(3,5) , B (-1,4) and C( 7,-6) are the vertices of Delta ABC. Find the coordinates of the centroid of the triangle

A variable straight line passes through a fixed point (a, b) intersecting the co-ordinates axes at A & B. If 'O' is the origin, then the locus of the centroid of the triangle OAB is (A) bx+ ay-3xy=0 (B) bx+ay-2xy=0 (C) ax+by-3xy=0 (D) ax+by-2xy=0.