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Mathematics
Mathematics
Problem
Let
ϕ
(
x
,
y
)
=
0
\phi(x, y) = 0
ϕ
(
x
,
y
)
=
0
be the equation of a circle. If
ϕ
(
0
,
λ
)
=
0
\phi(0, \lambda) = 0
ϕ
(
0
,
λ
)
=
0
has equal roots
λ
=
2
,
2
\lambda = 2, 2
λ
=
2
,
2
and
ϕ
(
λ
,
0
)
=
0
\phi(\lambda, 0) = 0
ϕ
(
λ
,
0
)
=
0
has roots
λ
=
4
5
,
5
\lambda = \frac{4}{5}, 5
λ
=
5
4
,
5
, then the centre of the circle is a.
(
2
,
29
10
)
\left(2, \frac{29}{10}\right)
(
2
,
10
29
)
b.
(
29
10
,
2
)
\left(\frac{29}{10}, 2\right)
(
10
29
,
2
)
c.
(
−
2
,
29
10
)
\left(-2, \frac{29}{10}\right)
(
−
2
,
10
29
)
d. None of these
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