Straight Lines ...

The area of the quadrilateral formed by the lines | x | + | y | = 1 is

If a , b , c are in A . P. then straight line ax + by + c = 0 will always pass through a fixed point whose coordinates are

If the area of the triangle formed by $$ (-2,5), (x,-3) $$ and $$(3,2)$$ is $$14 $$ square units, then $$x=$$ ____.

The distance between the points (sin x, cos x) and (cos x -sin x) is

Find the distance from the point (2, 3) to the line 3x + 4y + 9 = 0

If the area of the triangle formed by the points $$(-2,3), (4,-5)$$ and $$(-3,y)$$ is 10 square units then $$y =$$

What is the slope of the line 3x + 2y + 1 = 0?

Given three vertices of a triangle whose coordinates are A (1, 1), B (3, -3) and (5, -3). Find the area of the triangle.

The area of triangle whose vertices are $$A (-3, -1), B(5, 3)$$ and $$C(2, -8)$$ is ____ $$\text{ sq. units}$$.

If the inclination of a line is $$45^\circ$$, then the slope of the line is ?

The two diagonally opposite vertices of a square are $$(6,\,6)$$ and $$(0,\,0)$$. Find the point which lies on X-axis.

One line passes through the points $$(1,9)$$ and $$(2,6)$$ another line passes through $$(3, 3)$$ and $$(-1, 5)$$ The acute angle between the two lines is