Find the equation of a circle whose centre is (7,-5) and it passes through the centre of the circle
22 + 2y + 4x + 6y - 14-0
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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
−
24
y
2
=1
24x
2
−25y
2
=600
Hence, Option [A] and [C] are correct.
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