Question

The locus of the point of intersection of the lines $axsec\theta +bytan\theta =aandaxtan\theta +bysec\theta =b$, where $\theta$ is the parameter, is

• A. A straight line
• B. A circle
• C. An ellipse
• D. A hyperbola

Answer 1

The correct option is D

A hyperbola

Squaring and subtracting, we get
$a^2{x}^2-b^2{y}^2=a^2-b^2$, which is the equation of hyperbola.