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Mathematics
Mathematics
Problem
The circle
x
2
+
y
2
−
8
x
=
0
x^2 + y^2 - 8x = 0
x
2
+
y
2
−
8
x
=
0
and hyperbola
x
2
9
−
y
2
4
=
1
\frac{x^2}{9} - \frac{y^2}{4} = 1
9
x
2
−
4
y
2
=
1
intersect at the points A and B. Equation of a common tangent with positive slope to the circle as well as to the hyperbola is a.
2
x
−
5
y
−
20
=
0
2x - \sqrt{5}y - 20 = 0
2
x
−
5
y
−
20
=
0
b.
2
x
−
5
y
+
4
=
0
2x - \sqrt{5}y + 4 = 0
2
x
−
5
y
+
4
=
0
c.
3
x
−
4
y
+
8
=
0
3x - 4y + 8 = 0
3
x
−
4
y
+
8
=
0
d.
4
x
−
3
y
+
4
=
0
4x - 3y + 4 = 0
4
x
−
3
y
+
4
=
0
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