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`

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

If the vectors A ,B ,C of a triangle A B C are (1,2,3),(-1,0,0),(0,1,2), respectively then find /_A B Cdot

If the coordinates of the centroid and a vertex oc an equilaterqal triangle are (1,1) and (1,2) respectively, then the coordinates of another vertex, are

Base BC of triangle ABC is fixed and opposite vertex A moves in such a way that tan.(B)/(2)tan.(C)/(2) is constant. Prove that locus of vertex A is ellipse.

The equations of the perpendicular bisectors of the sides A Ba n dA C of triangle A B C are x-y+5=0 and x+2y=0 , respectively. If the point A is (1,-2) , then find the equation of the line B Cdot

The equations of the perpendicular bisectors of the sides A Ba n dA C of triangle A B C are x-y+5=0 and x+2y=0 , respectively. If the point A is (1,-2) , then find the equation of the line B Cdot

if the coordinates of the mid points of the Sides of a triangle are (1,2) ,(0,-1) and (2, -1) .Find the coordinates of its vertices :

if the coordinates of the mid points of the Sides of a triangle are (1,2) ,(0,-1) and (2, -1) .Find the coordinates of its vertices :

The coordinates of the point A and B are (a,0) and (-a ,0), respectively. If a point P moves so that P A^2-P B^2=2k^2, when k is constant, then find the equation to the locus of the point Pdot