Straight Lines ...

If mid point of the line segment joining (2a,4) and (-2,3b) is (1,2a+1), then the values of a and b are given by 

$$(0, 0), (0, 3)$$ and $$(3, 0)$$ form ___________.

Find the point on the y-axis which is equidistant from $$A(3, -6)$$ and $$B(-2, 5)$$.

$$L, M$$ and $$N$$ are the midpoints of the sides $$BC, CA$$ and $$AB$$ respectively of triangle $$ABC$$. If the vertices are $$A(3,-4), B(5,-2)$$ and $$C(1,3)$$ the area of $$\displaystyle \triangle LMN$$ is ____ square units.

Find the perimeter of the triangle formed by the points $$(3, 5), (4, 8)$$ and $$(5, 6)$$.

Which of the following points is equidistant from $$(3,2)$$ and $$(-5,-2)$$?

The midpoints of the sides of triangle $$ABC$$ are $$ (-1,-2), (6,1)$$ and $$(3,5) $$. The area of $$\displaystyle \triangle ABC$$ is ____ square units.

Which of the following points are the vertices of an equilateral triangle?

The point on the x-axis which is equidistant from the points $$(5,4)$$ and $$(-2,3)$$ is

If the distances of $$P(x,y)$$ from $$A(-1,5)$$ and $$B(5,1)$$ are equal, then