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Byju's Answer
Standard IX
Mathematics
Circle
Find the equa...
Question
Find the equation of the tangent to the curve
y
=
x
2
+
1
at the point
(
1
,
2
)
.
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Solution
A
]
y
=
x
2
+
1
Differentiating,
y
1
=
2
x
y
1
a
t
(
1
,
2
)
=
2
(
1
)
=
2
using slope - point form
y
−
y
1
=
m
(
x
−
x
1
)
y
−
2
=
2
(
x
−
1
)
y - 2 = 2x - 2
∴
y = 2x [equation of tangent]
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