Question

Which ellipse lies completely inside

|$\sqrt{3}$x | + | $\sqrt{6}$ y| = $\sqrt{18}$

• A. $\frac{x^{2}}{6} + \frac{y^{2}}{3} = 1$
• B. $\frac{x^{2}}{5} + \frac{y^{2}}{2} = 1$
• C. $\frac{x^{2}}{6} + \frac{y^{2}}{2} = 1$
• D. $\frac{x^{2}}{8} + \frac{y^{2}}{2} = 1$

Answer 1

Answer: (B)

$\frac{x^{2}}{5} + \frac{y^{2}}{2} = 1$

Answer 2

Sol. \ if x > 0, y > 0, given equation become

$\sqrt{3}x + \sqrt{6}y = \sqrt{18}$

$\frac{x}{\sqrt{6}} + \frac{y}{\sqrt{3}}$ = 1

Similarly taking all condition.

The graph is as shown in figure.