In a triangle `A B C` , the bisectors of angles `Ba n dC` lies along the lines `x=ya n dy=0.` If `A` is `(1,2)` , then the equation of line `B C` is (a) `2x+y=1` (b) `3x-y=5` (c) `x-2y=3` (d) `x+3y=1`

Find the equation of the bisectors of the anglebetween the lines 4x+3y=5 and x +2y+3=0.

The equation of the line AB is y = x . If A and B lie on the same side of the line mirror 2x-y = 1 , then the equation of the image of AB is (a) x+y-2=0 (b) 8x+y-9=0 (c) 7x-y-6=0 (d) None of these

In a triangle A B C , if A is (2,-1),a n d7x-10 y+1=0 and 3x-2y+5=0 are the equations of an altitude and an angle bisector, respectively, drawn from B , then the equation of B C is (a) a+y+1=0 (b) 5x+y+17=0 (c) 4x+9y+30=0 (d) x-5y-7=0

A B C is a variable triangle such that A is (1,2) and B and C lie on line y=x+lambda (where lambda is a variable). Then the locus of the orthocentre of triangle A B C is (a) (x-1)^2+y^2=4 (b) x+y=3 (c) 2x-y=0 (d) none of these

The center of a rectangular hyperbola lies on the line y=2xdot If one of the asymptotes is x+y+c=0 , then the other asymptote is (a) 6x+3y-4c=0 (b) 3x+6y-5c=0 (c) 3x-3y-c=0 (d) none of these

Two straight lines u=0a n dv=0 pass through the origin and the angle between them is tan^(-1)(7/9) . If the ratio of the slope of v=0 and u=0 is 9/2 , then their equations are (a) y+3x=0a n d3y+2x=0 (b) 2y-3x=0a n d3y-x=0 (c) 2y= 3xa n d3y=x (d) y=3xa n d3y=2x

A possible equation of L is (A) x 3y 1 (B) x 3y 1 (C) x 3y 1 (D) x 3y 5

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

One of the bisector of the angle between the lines a(x-1)^2 + 2h(x-1)(y-2) + b (y-2)^2 = 0 is x + 2y - 5 = 0 . Then other bisector is (A) 2x-y=0 (B) 2x+y=0 (C) 2x+y-4=0 (D) x-2y+3=0

The equations of two equal sides A Ba n dA C of an isosceles triangle A B C are x+y=5 and 7x-y=3 , respectively. Then the equation of side B C if a r( A B C)=5u n i t^2 is x-3y+1=0 (b) x-3y-21=0 3x+y+2=0 (d) 3x+y-12=0