One side of a rectangle lies along the line $4x + 7y + 5 = 0.$ Two of its vertices are $(-3, 1)$ and $(1, 1)$. Then the equations of other three sides are
$7x - 4y + 25 = 0,$$4x + 7y = 11$ and $7x - 4y - 3 = 0$
$7x + 4y + 25 = 0,$$7y + 4x - 11 = 0$ and $7x - 4y - 3 = 0$
$4x - 7y + 25 = 0,$$7x + 4y - 11 = 0$ and $4x - 7y - 3 = 0$
None of these
The co-ordinates of three points $A(-4, 0) ; B(2, 1)$ and $C(3, 1)$ determine the vertices of an equilateral trapezium $ABCD$ . The co-ordinates of the vertex $D$ are :
The equation of straight line passing through $( - a,\;0)$ and making the triangle with axes of area ‘$T$’ is
Equations of diagonals of square formed by lines $x = 0,$ $y = 0,$$x = 1$ and $y = 1$are
The line $2x + 3y = 12$ meets the $x$-axis at $A$ and $y$-axis at $B$. The line through $(5, 5)$ perpendicular to $AB$ meets the $x$- axis , $y$ axis and the $AB$ at $C,\,D$ and $E$ respectively. If $O$ is the origin of coordinates, then the area of $OCEB$ is