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Mathematics
Mathematics
Problem
The locus of the mid points of the chords of the circle
x
2
+
y
2
−
a
x
−
b
y
=
0
x^2 + y^2 - ax - by = 0
x
2
+
y
2
−
a
x
−
b
y
=
0
which subtend a right angle at
(
a
2
,
b
2
)
\left(\frac{a}{2}, \frac{b}{2}\right)
(
2
a
,
2
b
)
is - (A)
a
x
+
b
y
=
0
ax + by = 0
a
x
+
b
y
=
0
(C)
x
2
+
y
2
−
a
x
−
b
y
+
a
2
+
b
2
8
=
0
x^2 + y^2 - ax - by + \frac{a^2 + b^2}{8} = 0
x
2
+
y
2
−
a
x
−
b
y
+
8
a
2
+
b
2
=
0
(B)
a
x
+
b
y
=
a
2
+
b
2
ax + by = a^2 + b^2
a
x
+
b
y
=
a
2
+
b
2
(D)
x
2
+
y
2
−
a
x
−
b
y
−
a
2
+
b
2
8
=
0
x^2 + y^2 - ax - by - \frac{a^2 + b^2}{8} = 0
x
2
+
y
2
−
a
x
−
b
y
−
8
a
2
+
b
2
=
0
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