The following is a 'multiple-option correct' question..

If the straight line 3x+4y=24 intersects the axes at A and B and the straight line 4x+3y=24 at C and D, then the points A,B,C and D lie on:

(a) a Circle

(b) a Parabola

(c) an Ellipse

(d) a Hyperbola

My attempt:

I got the points A,B,C and D by solving the given equations.. which are (0,6) (0,8) (6,0) (8,0).

I am definitely sure that the option (A) is right..

Because i got a clear equation of a circle with centre at (7,7) and its radius being √50..

But how do i proceed for the other conics.... Kindly help