Question

F $(a-3)x^2+a{y}^2=9$ represents a rectangular hyperbola, then $a=$ .

• A. $\frac{3}{2}$
• B. $-\frac{3}{2}$
• C. $0$
• D. $Noneofthese$

Answer 1

The correct option is A $\frac{3}{2}$

The equation $(a-3)x^2+a{y}^2=9$ will represent a rectangular hyperbola if the sum of the co-efficients of $x^2$ and $y^2$ is $0$.

Then,

$a-3+a=0$

or, $2a=3$

or, $a=\frac{3}{2}$.