Question

The locus of the point of intersection of the lines bxt-ayt=ab and bx+ay=abt is

• A. A parabola
• B. An ellipse
• C. A hyperbola
• D. None of these

Answer 1

The correct option is C

A hyperbola

Multiplying both, we get
$(bx{)}^2-(ay{)}^2=(ab{)}^2\Rightarrow \frac{x^2}{a^2}-\frac{y^2}{b^2}=1$
Which is the standard equation of hyperbola.