If one of the lines of `m y^2+(1-m^2)x y-m x^2=0` is a bisector of the angle between the lines `x y=0` , then `m` is (a)`1` (b) `2` (c) `-1/2` (d) `-1`

If one of the lines of my^(2) + (1 - m^(2))xy - mx^(2) = 0 is a bisector of the angle between the lines xy = 0, then m is

The angle between the lines x=1,y=2 and y=-1 ,z=0 is

If two lines represented by x^4+x^3y+c x^2y^2-x y^3+y^4=0 bisect the angle between the other two, then the value of c is (a) 0 (b) -1 (c) 1 (d) -6

If two lines represented by x^4+x^3y+c x^2y^2-x y^3+y^4=0 bisect the angle between the other two, then the value of c is (a) 0 (b) -1 (c) 1 (d) -6

The angle between the lines sqrt3 x – y–2 = 0 and x – sqrt3 y+1=0 is

The equation of the bisector of the acute angle between the lines 2x-y+4=0 and x-2y=1 is (a) x-y+5=0 (b) x-y+1=0 (c) x-y=5 (d) none of these

The angle between the line joining the points (1,-2) , (3,2) and the line x+2y -7 =0 is

If m is the slope of a tangent to the curve e^y=1+x^2, then |m|>1 (b) m >1 m >-1 (d) |m|lt=1

Show that the equation of the pair of lines bisecting the angles between the pair of bisectors of the angles between the pair of lines a x^2+2h x y+b y^2=0 is (a-b)(x^2-y^2)+4h x y=0.

The condition on a and b , such that the portion of the line a x+b y-1=0 intercepted between the lines a x+y=0 and x+b y=0 subtends a right angle at the origin, is (a) a=b (b) a+b=0 (c) a=2b (d) 2a=b