Given ellipse is x2 + 4y2 = 9.⇒ x2 + 4y2 = 9⇒ ⇒ Comparing with the standard form Here a2>b2⇒ eccentricity(e) = ⇒ ⇒ ⇒ ⇒ Length of the latus rectum is Focus (±ae,0) = Directrices are Directrices are ∴ The correct options are B and D

Q. 145.0( 1 Vote )

For the ell A. The eccentricity is

B. The latus rectum is

C. A focus is

D. A directrix is

Class 11th RD Sharma - Mathematics 26. Ellipse

Answer :

Given ellipse is x² + 4y² = 9.

⇒ x² + 4y² = 9

⇒

Comparing with the standard form

Here a²>b²

⇒ eccentricity(e) =

⇒

Length of the latus rectum is

Focus (±ae,0) =

Directrices are

∴ The correct options are B and D

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For the ell A. The eccentricity is B. The latus rectum is C. A focus is D. A directrix is

For the ell A. The eccentricity is

B. The latus rectum is

C. A focus is

D. A directrix is