Question

The locus of the point of intersection of the lines x + 4y = 2a sin q, x – y = a cosq where q is a variable parameter is

• A. 5x² + 20y² = a²
• B. 5x² + 20y² = 2a²
• C. 5x² + 20y² = 3a²
• D. 5x² + 20y² = 4a²

Answer 1

Answer: (D)

5x² + 20y² = 4a²

Answer 2

x + 4y = 2a sin q …..(i)

x – y = a cos q …..(ii)

$\frac{(x + 4y)^{2}}{4}$ + (x – y)² = a²

5x2 + 20y² = 4a² Ž x² + 5y² = a²