`(ax+by)^2 -(ay+bx)^2`

2 (ax+by)^(2)-(bx+ay)^(2)

The area of the triangle formed by pair of line (ax+by)^2-3(bx-ay)^2=0 " and the line " ax+by+c=0 is

(ax+by)^(2)+(bx-ay)^(2)

The slope of angular bisector of line (ax+by)^2=c(bx-ay)^2,(cgto) are

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 bx-ay+mu=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

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

The area of the equilaterial triangle formed by the pair of lines (ax+by)^(2)-3(bx-ay)^(2)=0 and the line ax+by+c=0 is (c^(2))/(sqrt(3)(a^(2)+b^(2))) sq. units.

Ifx=a sin theta+b cos theta,y=a cos theta-b sin theta then show that (ax+by)^(2)+(bx-ay)^(2)=(a^(2)+b^(2))^(2)