In a triangle ABC, A(3,5) is the vertex. If the internal angle bisector of B is `y=x` then which of the following point must be lie on line BC .

In a triangle ABC, internal bisector of angleABC and external bisector of angleACB meet in D. Which one of the following is true ?

In a triangle ABC.if A(1,2) and the internal angle bisetors through B and C are y=x and y=-2x, then the in radius r of Delta ABC is :

In /_ABC, vertex A is (1,2). If the internal angle bisector of /_B is 2x-y+10=0 and the perpendicular bisector of AC is y=x ,then find the equation of BC

In a Delta ABC, points A and B are (4, 5) and (h, k) respectively. If the equation to the angle bisector of B is y=x and the orthocentre of the triangle is (3,3) then the value of [h+k], where [.] denotes the greatest integer function, is

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

Let the bisector of the angle BAC of a triangle ABC meet BC in X. Which one of the following is correct?

In a triangle ABC,A(1,3) and perpendicular bisector of AB is y=x and orthocentre of triangle ABC is (3,1), then locus of vertex C is

In /_ABC, perpendicular BE is drawn from vertex B on internal angle bisector from vertex A such that it divide /_B in 1:2 (point E lies on internal angle bisector from vertex A and lies inside Delta ABC) and Delta ABE is isoceless,then value of /_C will be