A line through the origin intersects `x = 1,y =2 and x +y = 4`, in `A, B and C` respectively,such that `OA*OB*OC =8 sqrt2`. Find the equation of the line.

Sum of slopes of all possible lines passing through origin (O) and intersecting the lines x+y=1 and x+2y=1 at A & B respectively such that 3(OA.OB)=1 is

The equations to the straight lines each of which passes through the point (3,2) and intersects the x-axis and y-axis in A,B respectively such that OA-OB=2, can be

The equation of the line through the intersection of the lines 2x-3y=0 and 4x-5y=2 and

A(1, -2) and B(2, 5) are two points. The lines OA, OB are produced to C and D respectively, such that OC=2OA and OD=2OB . Find CD .

Find the equation of the line passing through the point of intersection of 7x + 6y = 71 and 5x - 8y = -23 , and perpendicular to the line 4x - 2y = 1 .

A line of negative slope passing through the centre of circle x^2 y^2 - 16x - 4y = 0 intersects pve x and y-axis at A and B respectively then the minimum value of OA OB (O is origin) is