Area of the rhombus bounded by the four lines, $ax \pm by \pm c = 0$ is :

  • A

    $\frac{{{c^2}}}{{2\,ab}}$

  • B

    $\frac{{2\,{c^2}}}{{ab}}$

  • C

    $\frac{{4\,{c^2}}}{{ab}}$

  • D

    $\frac{{ab}}{{4\,{c^2}}}$

Similar Questions

A line $L$ passes through the points $(1, 1)$ and $(2, 0)$ and another line $L'$ passes through $\left( {\frac{1}{2},0} \right)$ and perpendicular to $L$. Then the area of the triangle formed by the lines $L,L'$ and $y$- axis, is

Let $A (-3, 2)$ and $B (-2, 1)$ be the vertices of a triangle $ABC$. If the centroid of this triangle lies on the line $3x + 4y + 2 = 0$, then the vertex $C$ lies on the line

  • [JEE MAIN 2013]

The area of triangle formed by the lines $x = 0,y = 0$ and $\frac{x}{a} + \frac{y}{b} = 1$, is

The area enclosed within the curve $|x| + |y| = 1$ is

  • [IIT 1981]

The sides $AB,BC,CD$ and $DA$ of a quadrilateral are $x + 2y = 3,\,x = 1,$ $x - 3y = 4,\,$ $\,5x + y + 12 = 0$ respectively. The angle between diagonals $AC$ and $BD$ is ......$^o$