" 34.Prove that the lines "ax+-by+-c=0" enclose a rhombus whose area is "

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

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.

Prove that the equation y^2+ 2Ax + 2By +c =0 represents a parabola whose axis is parallel to the x-axis.

Prove that the area of a rhombus is half the area of the rectangle produced by the diagonals of the rhombus.

If a+b+c=0, then the straight lines 4ax + 3by+c=0 always pass through a fixed whose coordinates are-

If a,b and c are real and a+b+c=0 , then the line 3ax+4by+c=0 passes through the point whose coordinates are

Prove that any three tangents to a parabola whose slopes are in harmonic progression enclose slopes are in harmonic progression enclose a traingle of constant area .

Prove that any three tangents to a parabola whose slopes are in harmonic progression enclose a triangle of constant area.

Prove that any three tangents to a parabola whose slopes are in harmonic progression enclose a triangle of constant area.