Show that the lines `ax+by+c=0, ax-by+c=0, ax-by=c ax+ by-c=0 (a ne b)` enclose a rhombus whose area is `(2c^(2))/(ab)` sq unit.

Show that four lines ax +- by +-c=0 enclose a rhombus whose area is (2c^2)/(ab) .

Slope of the line ax+by+c=0 is

Slope of the line ax+by+c=0 is…………

The area of the figure formed by the lines ax + by +c = 0, ax - by + c = 0, ax+ by-c = 0 and ax- by - c = 0 is

If the line ax + by + c =0, ab ne 0, is a tangent to the curve xy =1-2x, then

Show that the parallelogram formed by ax+by+c=0, a_1 x+ b_1 y+c=0, ax+by+c_1 =0 and a_1 x+b_1 y+c_1 =0 will be a rhombus if a^2 +b^2 = (a_1)^2 + (b_1)^2 .

If the quadrilateral formed by the lines ax + by + c = 0, a'x + b'y + c' = 0, ax + by + c' = 0,a'x + b'y + c = 0 have perpendicular diagonals, then :

If the quadrilateral formed by the lines ax+by+c=0,a'x+b'y+c=0,ax+by+c'=0,a'x+b'y+c'=0 has perpendicular diagonals,then (a)b^(2)+c^(2)=b^(prime2)+c^(2)(b)c^(2)+a^(2)=c^(2)+a^(prime2)(c)a^(2)+b^(2)=a^(2)=a^(2)+b^(2)(d) none of these

If the quadrilateral formed by the lines ax+by+cz=0, ax+b'y+c=0, a'x+by+c'=0, a'x+b'y+c'=0 have perpendicular diagonals, then :