The coordinates of the vertices `Ba n dC` of a triangle `A B C` are (2, 0) and (8, 0), respectively. Vertex `A` is moving in such a way that `4tanB/2tanC/2=1.` Then find the locus of `A`

Coordinates of the vertices B and C of a triangle ABC are (2,0) and (8,0) respectively.The vertex A is varying in such a way that 4tan((B)/(2))tan((C)/(2))=1 and locus of A is "((x-5)^(2))/(25)+(y^(2))/(k^(2))=1 ,then k=

Coordinates of the vertices B and C of DeltaABC are (2, 0) and (8, 0) respectively. The vertex is hanging in such a way that 4 tan B/2.tan C/2 = 1 . Then the locus of A is (A) (x-5)^2/25 + y^2/9 = 1 (B) (x-5)^2/25 + y^2/16 = 1 (C) (c-5)^2/16 + y^2/25 = 1 (D) none of these

If the vertices A,B,C of a triangle ABC are (1,2,3),(-1,0,0) ,(0,1,2) , respectively, then find angleABC .

The coordinates of vertices A and B of an equilateral triangle ABC are (- 4, 0) and (4, 0) respectively. Which of the following could be coordinates of C

The vertices of a triangle ABC are A(0,0),B(2,-1) and C(9,2). Evaluate cos B

The vertices of a triangle ABC are A(0, 0), B(2, -1) and C(9, 2) , find cos B .

If the position vectors of the vertices a, B and C of a Triangle ABC be (1, 2, 3), (-1, 0, 0) and (0, 1, 2) respectively then find angleABC .

Find the coordinates of the in-centre of the triangle with vertices A(-1,12), B(-1,0) and C (4,0).

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