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Mathematics
Mathematics
Problem
For the curve
x
2
+
x
y
+
y
2
=
7
x^{2}+xy+y^{2}=7
x
2
+
x
y
+
y
2
=
7
: (i) Verify that the point
(
1
,
2
)
(1,2)
(
1
,
2
)
lies on the curve. (ii) Find the slope of the tangent to the curve at
(
1
,
2
)
(1,2)
(
1
,
2
)
. (iii) Hence obtain the equations of the tangent and the normal at the point
(
1
,
2
)
(1,2)
(
1
,
2
)
in slope–intercept form.
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