Published by:
CGP EDU Academic Team
Published on: August 11, 2026
Match the column
Column – I Column – II
Correct Matrix Matching
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
→ (q), → (r), → (s), → (q)
Sol.
⇒ e =
⇒ be = 
⇒ k = 8
Any point of ellipse
is 
distance from origin 
⇒ cos 2 θ =
⇒ cos θ = 
9x 2 + 5(y 2 – 6y + 9) = 45 or 9x 2 + 5(y – 3) 2 = 45
∴
= 1
Putting x = Y and y – 3 = X, the equation becomes
= 1
∴ a 2 = 9, b 2 = 5 ⇒ b 2 = a 2 (1 – e 2 ),
∴ 5 = 9(1 – e 2 ) or 1 – e 2 =
or e 2 = 1 –
, ∴ e = 
latus rectum = 
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