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Mathematics
Problem
Pair of tangents are drawn from every point on the line
3
x
+
4
y
=
12
3x + 4y = 12
3
x
+
4
y
=
12
on the circle
x
2
+
y
2
=
4
x^2 + y^2 = 4
x
2
+
y
2
=
4
. Their variable chord of contact always passes through a fixed point whose co-ordinates are - (A)
(
4
3
,
3
4
)
\left(\frac{4}{3}, \frac{3}{4}\right)
(
3
4
,
4
3
)
(B)
(
3
4
,
3
4
)
\left(\frac{3}{4}, \frac{3}{4}\right)
(
4
3
,
4
3
)
(C)
(
1
,
1
)
(1, 1)
(
1
,
1
)
(D)
(
1
,
4
3
)
\left(1, \frac{4}{3}\right)
(
1
,
3
4
)
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