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 the of lines represented by x^2-2cxy-y^2= 0 and x^2-2dxy-y^2=0 be such that each pair bisects the angle between the other pair, prove that cd = -1.

If the angle between the two lines represented by 2x^2+5x y+3y^2+6x+7y+4=0 is tan^(-1)(m), then find the value of mdot

The two lines represented by 3a x^2+5x y+(a^2-2)y^2=0 are perpendicular to each other for (a)two values of a (b) a (c)for one value of a (d) for no values of a

Let A B C be a triangle. Let A be the point (1,2),y=x be the perpendicular bisector of A B , and x-2y+1=0 be the angle bisector of /_C . If the equation of B C is given by a x+b y-5=0 , then the value of a+b is (a) 1 (b) 2 (c) 3 (d) 4

The straight lines represented by the equation 135 x^2-136 x y+33 y^2=0 are equally inclined to the line (a) x-2y=7 (b) x+2y=7 (c) x-2y=4 (d) 3x+2y=4

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 lines joining the origin to the point of intersection of 3x^2+m x y-4x+1=0 and 2x+y-1=0 are at right angles. Then which of the following is not a possible value of m ? -4 (b) 4 (c) 7 (d) 3

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

The angle between the line 3x-2y=0 and 2x+3y+5=0 is ………………….. .