. The lines `(a+b)x + (a-b) y-2ab=0, (a-b)x+(a+b)y-2ab = 0 and x+y=0` form an isosceles triangle whose vertical angle is (1) `pi/2` (2) `tan^-1 ((2ab)/(a^2-b^2))` (3) `tan^-1 (a/b)` (4) `2 tan^-1 (a/b)`

The lines (a+b)x+(a-b)y=2ab, (a-b)x +(a+b)y=2ab , and x+y=0 form an isosceles triangles whose vertical angle is

Show that the lines (a+b)x+(a-b)y-2ab=0,(a-b)x+(a+b)y-2ab=0andx+y=0 form an isosceles triangle whose vertical angle is 2tan^(-1)((a)/(b)) .

Triangle formed by variable lines (a+b)x+(a-b)y-2ab=0 and (a-b)x+(a+b)y-2ab=0 and x+y=0 is (where a, b in R )

Triangle formed by variable lines (a+b)x+(a-b)y-2ab=0 and (a-b)x+(a+b)y-2ab=0 and x+y=0 is (where a, b in R )

y = tan ^ (- 1) [sqrt ((ab) / (a + b)) (tan x) / (2)]

Two sides of a triangle are (a + b) x + (a-b)y-2ab = 0 and (a-b)x + (a + b)y-2ab = 0 . If the triangle is isosceles and the third side passes through point (b- a, a -b) , then the equation of third side can be

Two sides of a triangle are (a + b) x + (a-b)y-2ab = 0 and (a-b)x + (a + b)y-2ab = 0 . If the triangle is isosceles and the third side passes through point (b- a, a -b) , then the equation of third side can be