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Byju's Answer
Standard XII
Mathematics
Tangent
Find the equa...
Question
Find the equations to the common tangents of the circle
x
2
+
y
2
+
4
a
x
=
0
and parabola
y
2
=
4
a
x
.
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Solution
x
2
+
4
a
x
+
y
2
=
0
x
2
+
4
a
x
+
4
a
2
+
y
2
=
4
a
2
(
x
+
2
a
)
2
+
y
2
=
4
a
2
.
.
.
.
.
.
(
i
)
y
2
=
4
a
x
.
.
.
.
.
.
.
.
.
(
i
i
)
By tracing the circle and the parabola we can clearly see that they touch each other along the
y
axis
So the equation of common tangent is
x
=
0
.
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0
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