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CGP EDU Academic Team
Published on: August 14, 2026
The locus of the point of intersection of the lines x + 4y = 2a sin θ , x – y = a cos θ where θ is a variable parameter is(a) 5x
2 + 20y 2 = a 2
Text Solution
Verified by ExpertsThe correct answer is:
D
x + 4y = 2a sin θ …..(i)
x – y = a cos θ …..(ii)
+ (x – y) 2 = a 2 5x2 + 20y
2 = 4a 2 ⇒ x 2 + 5y 2 = a 2
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