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Mathematics
Mathematics
Problem
If the point
(
α
,
7
3
3
)
\left(\alpha, \frac{7\sqrt{3}}{3}\right)
(
α
,
3
7
3
)
lies on the curve traced by the mid-points of the line segments of the lines
x
cos
θ
+
y
sin
θ
=
7
x\cos\theta + y\sin\theta = 7
x
cos
θ
+
y
sin
θ
=
7
,
θ
∈
(
0
,
π
2
)
\theta \in \left(0, \frac{\pi}{2}\right)
θ
∈
(
0
,
2
π
)
between the coordinates is axes, then
α
\alpha
α
is equal to (a)
−
7
-7
−
7
(b)
−
7
3
-7\sqrt{3}
−
7
3
(c)
7
3
7\sqrt{3}
7
3
(d)
7
7
7
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