From the point `A(6, -8)`, all possible lines are drawn to cut the x-axis. Find the locus of their middle points.

From the point (4, 6) a pair of tangent lines are drawn to the parabola, y^(2) = 8x . The area of the triangle formed by these pair of tangent lines & the chord of contact of the point (4, 6) is

The tangent at any point P on the circle x^2 + y^2 = 2 cuts the axes in L and M . Find the locus of the middle point of LM .

Through point P(-1,4) , two perpendicular lines are drawn which intersect x-axis at Q and R. find the locus of incentre of Delta PQR .

Three mutually perpendicular lines are drawn from the point (1,2,-1) . If one of the lines is perpendicular to the x-axis and the direction ratios of the second line are (1,2,-1) then which are the possible equation(s) of the third line

The straight line passing through the point (8, 4) and cuts the y-raxis at B and x -axis at A .The locus of middle point of AB is

If O be origin and A is a point on the locus y^(2)=8x .find the locus of the middle point of OA

A stick of length l slides with its ends on two mutully perpendicular lines.Find the locus of the middle point of the stick.