Straight Lines ...

If a circle $$ { x }^{ 2 }+{ y }^{ 2 }=20$$ meet the parabola $$ { y }^{ 2 }=8x$$ at $$P$$ and $$Q$$. Then $$PQ=$$__ 

The coordinates of base $$BC$$ of an isosceles triangles $$ABC$$ are given by $$B (1,3)$$ and $$C (-2,7)$$. Which of the following points can be the possible coordinates of the vertex $$A$$ ? 

Point P(2,3) lines on the $$4x + 3y = 17$$. Then find the co-ordinated of points farthest from the line which are at 5 units distance from the P.

The sum of the lengths of tangents and subtangent at a point of $$y=a\log{(x^{2}-a^{2})}$$,$$(a>0)$$ is porportional to

The points $$(-1,5),(-2,-3),(5,1),(6,9)$$ taken on order are the vertices of a

Find the point on the x-axis which is equidistant from $$(2, -5)$$ and $$(-2, 9)$$.

If the points (0,0), $$(3,\sqrt{3})$$ ,(p,q) from an equilateral triangle and $$q_{1},q_{2}$$ are the two values of q then $$q_{1}+q_{2}$$ =

Three points $$\left( {0,0} \right),\left( {3,\sqrt 3 } \right),\left( {3,\lambda } \right)$$ from an equilateral triangle, then $$\lambda $$ is equal to 

Find the area of the triangle formed by the mid points of sides of the triangle whose vertices are $$(2, 1)$$, $$(-2, 3)$$, $$(4, -3)$$.

Area of the triangle formed by $$(x_{1,}y_{1}),(x_{2},y_{2}), (3y_{2},(-2y_{1}))$$