In `triangle ABC, ` the coordinates of the vertex A are , `(4,-1)` and lines `x - y - 1 = 0 and 2x - y = 3 ` are the internal bisectors of angles B and C . Then the radius of the circles of triangle AbC is

In A B C , the coordinates of the vertex A are (4,-1) , and lines x-y-1=0 and 2x-y=3 are the internal bisectors of angles Ba n dC . Then, the radius of the encircle of triangle A B C is (a) 4/(sqrt(5)) (b) 3/(sqrt(5)) (c) 6/(sqrt(5)) (d) 7/(sqrt(5))

In a triangle ABC , if the equation of sides AB,BC and CA are 2x- y + 4 = 0 , x - 2y - 1 = 0 and x + 3y - 3 = 0 respectively , The equation of external bisector of angle B is

In a triangle ABC,vertex angles A,B,C and side BC are given .The area of triangle ABC is

In a triangle ABC , AB = AC and angle A = 36^(@) If the internal bisector of angle C meets AB at D . Prove that AD = BC.

In a triangle ABC , if the equation of sides AB,BC and CA are 2x- y + 4 = 0 , x - 2y - 1 = 0 and x + 3y - 3 = 0 respectively ,Tangent of internal angle A is equal to

In a triangle ABC the sides BC=5, CA=4 and AB=3 . If A(0,0) and the internal bisector of angle A meets BC in D (12/7,12/7) then incenter of triangle ABC is

In an isosceles triangle ABC, the coordinates of the points B and C on the base BC are respectively (1, 2) and (2. 1). If the equation of the line AB is y= 2x, then the equation of the line AC is

A triangle is formed by the lines whose equations are 3x+4y-6=0,12x-5y-3 = 0 and 4x-3y + 12 = 0 . Find the internal bisector of the angle opposite to the side 3x + 4y -6=0.

A triangle is formed by the lines whose equations are 3x+4y-6=0, 12x-5y-3=0 and 4x-3y+10=0 . Find the internal bisector of the angle opposite to the side 3x+4y-6=0 .

The orthocenter of the triangle formed by lines x + y = 1, 2x + 3y =6 and 4x -y +4 =0 lines in quadrant number