Question

$3y6x + 7 {y}^{2} - 789yx {}^{2}$
​

Answer 1

Answer:

sssassse

$222$

9

Answer 2

Answer:

Solution

verified

Verified by Toppr

The given equation is 49y

2

−16x

2

=784

It can be written as

49y

2

−16x

2

=784

16

y

2

−

49

x

2

=1

4

2

y

2

−

7

2

x

2

=1 ...(1)

On comparing equation (1) with the standard equation of hyperbola

i.e.,

a

2

y

2

−

b

2

x

2

=1

we obtain a=4 and b=7

We know that a

2

+b

2

=c

2

, where c=ae

∴c

2

=16+49=65

⇒c=

65

Therefore, the coordinates of the foci are (0,±

65

)

The coordinates of the vertices are (0,±4)

Eccentricity e=

a

c

=

4

65

Length of latus rectum =

a

2b

2

=

4

2×49

=

2

49