Straight Lines ...

In the coordinate plane, the points $$F(-2, 1), G(1, 4)$$ and $$H(4, 1)$$ lie on a circle with center $$P$$. What are the coordinates of point $$P$$ ?

The line $$L$$ crosses the $$X$$-axis at $$(-8, 0)$$. The area of the shaded region is $$16$$. What is the slope of the line $$L$$?

If $$QR = 5\ units$$, identify the co-ordinates of Q.

In the figure above, line $$\iota $$ (not shown) is perpendicular to segment $$AB$$ and bisects segment $$AB$$. Which of the following points lies on line $$\iota $$? 

In the rectangle shown, find the value of $$a - b$$

The vertices of a triangle are $$A(2,2), B(-4,4), C(5,-8)$$. Then, find the length of the median through $$C$$.

Find the third vertex of an equilateral triangle whose two vertices are $$(2,4)$$ and $$(2,6)$$.

Find the perimeter of the triangle formed by $$(0,0),(1,0)$$ and $$(0,1)$$.

$$A,B,C$$ are three collinear points. The coordinates of $$A$$ and $$B$$ are $$(3,4)$$ and $$(7,7)$$ respectively and $$AC=10$$ units. Find the co-ordinates of $$C$$.

Find the mid points of $$(6,2)$$ and $$(-1,3)$$.