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Mathematics
Mathematics
Problem
If a tangent of slope 2 of the ellipse
x
2
a
2
+
y
2
b
2
=
1
\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1
a
2
x
2
+
b
2
y
2
=
1
is normal to the circle
x
2
+
y
2
+
4
x
+
1
=
0
x^2 + y^2 + 4x + 1 = 0
x
2
+
y
2
+
4
x
+
1
=
0
, then the maximum value of
a
b
ab
ab
is a. 1 b. 2 c. 4 d. 8
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