EllipseHard
Question
If 
= 1 is the equation of conic, where λ < 25, then which of following is always same for all values of λ -
= 1 is the equation of conic, where λ < 25, then which of following is always same for all values of λ - Options
A.Equation of directrices
B.Difference between the square of length of major axis and minor axis
C.Co-ordinates of focii
D.Eccentricity
Solution
a2 = (36 - λ) & b2 = (25 - λ)
(a) 25 - λ = (36 - λ) (1 - e2)
e2 = 1 -
⇒ e = 
Equation of directrices are
x = ±
(b) a2 - b2 = constant
(c) focii are (± a.e, 0) = (± √11, 0)
(d) Eccentricity is depending on λ.
(a) 25 - λ = (36 - λ) (1 - e2)
e2 = 1 -
⇒ e = Equation of directrices are
x = ±
(b) a2 - b2 = constant
(c) focii are (± a.e, 0) = (± √11, 0)
(d) Eccentricity is depending on λ.
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