Question
Question: The locus of the point of intersection of the lines ax sec θ + b y tan θ= a and ax tan θ + by sec θ ...
The locus of the point of intersection of the lines ax sec θ + b y tan θ= a and ax tan θ + by sec θ = b, where θ is the parameter, is
A
A straight line
B
A circle
C
An ellipse
D
A hyperbola
Answer
A hyperbola
Explanation
Solution
Squaring and subtracting, we get
A2x2 – b2y2 = a2 – b2, which is the equation of hyperbola.