Prove that the bisectors of the between the lines `ax^2+acxy+cy^2=0` and `(3+1/c)x^2+xy+(3+1/a)y^2=0` are always the same .

Find the equation of the bisectors of the angle between the lines represented by 3x^2-5xy+y^2=0

If the coordinate axes are the bisectors of the angles between the pair of lines ax^(2)+2hxy+by^(2)=0 , then

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.

Prove that The lines joining the origin to the points of intersection of the line 3x-2y =1 and the curve 3x^2 + 5xy -3y^2+2x +3y= 0 , are are at right angles.

Find the area of the parallelogram formed by the lines 2x^2+5xy+3y^2=0 and 2x^2+5xy+3y^2+3x+4y+1=0

Distance between the parallel lines 4x^2 +20xy +25y^2+2x+5y -12 = 0

The angle between the lines ay^2-(1+lambda^2))xy-ax^2=0 is same as the angle between the line:

Prove that the lines 2x^2+6xy+y^2=0 are equally inclined to the lines 4x^2+18xy+y^2=0

The bisectors of the angles between the lines (ax+by)^2=c(bx-ay)^2,c gt0 are respectively parallel and perpendicular to the line

Find the angle between the lines whose joint equation is 2x^2-3xy+y^2=0