Question

A second-degree homogeneous equation in $xandy$ always represents.

• A. A pair of straight lines
• B. A circle
• C. A conic section
• D. None of the above

Answer 1

The correct option is A

A pair of straight lines

Explanation for correct option:

A second degree homogeneous equation is given by $a{x}^2+2hxy+b{y}^2=0$

Which represent A pair of straight line passing through the origin.

Hence correct option is $\mathbf{\left(}\mathit{A}\mathbf{\right)}$.