Straight Lines ...

The length of the segment of the straight line passing through $$(3, 3)$$ and $$(7, 6)$$ cut off by the coordinate axes is?

If $$Q(0, 1)$$ is equidistant from $$P(5, -3)$$ and $$R(x, 6)$$, find the values of x. Also find the distances QR and PQ.

The angle between the lines $$3x + y - 7 = 0$$ and $$x + 2y + 9 = 0$$ is

Find the area of the triangle whose vertices are $$(-5, -1), (3, -5), (5, 2)$$

Find the coordinates of the point equidistant from the points $$A(-2, -3), B(-1, 0)$$ and $$C(7, -6)$$.

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

An equilibrium triangle $$ABC$$ has its centroid at the origin and the base $$BC$$ lies along the line $$x+y=1$$. Then the area of $$\Delta ABC$$ is 

Distance between A(x, y) and B(-4, 7) is $$\sqrt{41}.$$ Find x and y, if A's ordinate is thrice of its abscissa.

The ends of the base of an isosceles triangle are at $$(2a, 0)$$ and $$(0, a)$$ and one side is parallel to Y-axis. The equation of the other side is?

If $$A(-2,1),B(2,3)$$ and $$C(-2,-4)$$ are three points, then the angle between $$BA$$ and $$BC$$ is: