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Mathematics
Mathematics
Problem
The locus of the mid-point of the chord of contact of tangents drawn from points lying on the straight line
4
x
−
5
y
=
20
4x - 5y = 20
4
x
−
5
y
=
20
to the circle
x
2
+
y
2
=
9
x^2 + y^2 = 9
x
2
+
y
2
=
9
is a.
20
(
x
2
+
y
2
)
−
36
x
+
45
y
=
0
20(x^2 + y^2) - 36x + 45y = 0
20
(
x
2
+
y
2
)
−
36
x
+
45
y
=
0
b.
20
(
x
2
+
y
2
)
+
36
x
−
45
y
=
0
20(x^2 + y^2) + 36x - 45y = 0
20
(
x
2
+
y
2
)
+
36
x
−
45
y
=
0
c.
36
(
x
2
+
y
2
)
−
20
x
+
45
y
=
0
36(x^2 + y^2) - 20x + 45y = 0
36
(
x
2
+
y
2
)
−
20
x
+
45
y
=
0
d.
36
(
x
2
+
y
2
)
+
20
x
−
45
y
=
0
36(x^2 + y^2) + 20x - 45y = 0
36
(
x
2
+
y
2
)
+
20
x
−
45
y
=
0
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