Match the column:
Column-I | Column-II |
(i) The minimum & maximum distance of a point (3, 12) from the ellipse 25x2 + 9y2 –150 x – 90y + 225 = 0 are λ and m then | [A] = 10 |
(ii) The distance of a point (7, –3) from the foci of the ellipse 3x2 + 4y2– 12x + 24y + 36 = 0 areλ and m respectively then | [Β] = 6 |
(iii) The minimum and maximum distances of a point (1, 2) from the ellipse 4x2 + 9y2– 18x – 36y + 4 = 0 are λ and m then | [C] λm +mλ = 6 |
[S] m – λ = 4 |
Text Solution
Verified by Experts(i) [B]; (ii) [A]; (iii) [C]
Ans.
(i) [B]
(ii) [A]
(iii) [C][D]
Sol.
(i) 25 (x – 3) 2 + 9(y –5) 2 = 225
⇒ 
+ 
= 1, (3, 5) centre
λ = 2, m = 12 ⇒ Q
(ii) 
+ 
= 1, centre (2, –3)
λ = 4 & m = 6 ⇒ P
(iii) 
+ 
= 1
centre (–1, 2)
λ = 1, m = 5
⇒ R, S
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