Suppose a, b are real numbers such that a b 0 . Which of the following four figures represents the curve ( y -a x - b ) ( bx ²+ ay ²- ab )=0 ?

Step-by-step solution

y=a x+b and x² a + y² b =1 slope = a for the line, y intercept =b Fig. 1 for line a 0 hence the other fig. cannot be an ellipse Fig.2 a >0, ~b < 0 hence the fig. is a hyperbola Similarly you can check rest 2 options