Verified answer

discriminant:

B^2 - 4AC = (24)^2 - 4(16)(9) = 0

thus this is a parabola or a degenerate parabola... depending on the outcome after rotation...

the angle of rotation is 1/2 arccot(7/24)

after rotation it becomes...

25 x'^2 - 25y' = 0

y' = x'^2

thus the answer is B.

The answer is "d", none of the above. None of the shapes given in the other answers has an "xy" term.

Correction: I was incorrect. The answer is really B, as others have already said. A parabola may have an XY term. My mistake.

Why don't you know the answer yourself Dr?

The curve, if indeed it is a curve has one point that is the origin of both the x and y axies. At Zero. The value of either x or y will be a negative value if there is in fact any solution to the equation. I can't be bothered to look at this any longer.

none of the above. the eqns of ellipse, parabola and hyperbola do not have xy term...

b) as you can write is as (4x+3y)^2 +5(3x-4y)=0