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
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