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General Equation of Hyperbola

If x2+λy2=2...

Question

If $x^{2} + λ y^{2} = 20$ represents rectangular hyperbola, then $λ$ equals

A

5

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B

4

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C

- 5

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D

n o n e o f t h e s e

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Solution

The correct option is D $n o n e o f t h e s e$

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Similar questions

x^{2} + λ y^{2} = 20

represents an ellipse , then

(a - 2) x^{2} + a y^{2} = 4

represents rectangular hyperbola, then

a

(α - 2) x^{2} + α y^{2} = 4

represents a rectangular hyperbola , then

α

Q. The equation

\frac{x^{2}}{9 - λ} + \frac{y^{2}}{4 - λ} = 1

represents a hyperbola when

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, then value of

[\frac{b + a}{b - a}]

(Where [.] denotes greatest integer function) is

(a - 2) x^{2} + 9 y^{2} = 4

represent rectangular hyperbola than

a

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