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Mathematics
Mathematics
Problem
Let
A
(
θ
)
A(\theta)
A
(
θ
)
and
B
(
ϕ
)
B(\phi)
B
(
ϕ
)
be the extremities of a chord of an ellipse. If the slope of
A
B
AB
A
B
is equal to the slope of the tangent at a point
C
(
α
)
C(\alpha)
C
(
α
)
on the ellipse, then the value of
α
\alpha
α
is a.
θ
+
ϕ
2
\frac{\theta + \phi}{2}
2
θ
+
ϕ
b.
θ
−
ϕ
2
\frac{\theta - \phi}{2}
2
θ
−
ϕ
c.
θ
+
ϕ
2
+
π
\frac{\theta + \phi}{2} + \pi
2
θ
+
ϕ
+
π
d.
θ
+
ϕ
2
−
π
\frac{\theta + \phi}{2} - \pi
2
θ
+
ϕ
−
π
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