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Mathematics
Mathematics
Problem
Tangents are drawn from the point
P
(
3
,
4
)
P(3, 4)
P
(
3
,
4
)
to the ellipse
x
2
9
+
y
2
4
=
1
\frac{x^2}{9} + \frac{y^2}{4} = 1
9
x
2
+
4
y
2
=
1
touching the ellipse at points
A
A
A
and
B
B
B
. The orthocenter of the triangle
P
A
B
PAB
P
A
B
is a.
(
5
,
8
7
)
\left(5, \frac{8}{7}\right)
(
5
,
7
8
)
b.
(
7
5
,
25
8
)
\left(\frac{7}{5}, \frac{25}{8}\right)
(
5
7
,
8
25
)
c.
(
11
5
,
8
5
)
\left(\frac{11}{5}, \frac{8}{5}\right)
(
5
11
,
5
8
)
d.
(
8
25
,
7
5
)
\left(\frac{8}{25}, \frac{7}{5}\right)
(
25
8
,
5
7
)
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