Question

Identify the type of conic section that has the equation 9x2+ 16y2 = 144 and identify its domain and range.

Answer 1

9 x² + 16 y² =  144    / : 144  ( divide both sides by 144 )
x²/16  + y²/ 9 = 1  ( ellipse )
a² = 16,  a = 4
b² = 9,  b = 3
Answer: 
B ) ellipse;
Domain : { -4 ≤ x ≤4 }
Range: { -3 ≤ y ≤ 3 }