Question

The vertices of an ellipse are (+-5,0) and its foci are (+-4,0), the equation of ellipse is

x²/25 + y²/9 =1

x²+y²=1

x²/25+y²/16=1

x²/16+y²/25=1

Option 5

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Answer 1

Answer:

Answer

Vertices(±5,0)Foci(±7,0)

a=±5 and ae=±7

And e=

5

7

We know e=

1+

a

2

b

2

On squaring both sides we get:

e

2

=1+

a

2

b

2

Or

25

49

=1+

25

b

2

Or

25

b

2

=

25

24

b

2

=24

The equation of hyperbola is

25

x

2 − 24y 2

=124x 2−25y 2

=600

Hence, Option [A] and [C] are correct.