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Problem
Problem
If
x
a
cos
θ
=
y
b
sin
θ
\frac{x}{a \cos \theta} = \frac{y}{b \sin \theta}
a
c
o
s
θ
x
=
b
s
i
n
θ
y
... (i) and
a
x
cos
θ
−
b
y
sin
θ
=
a
2
−
b
2
\frac{ax}{\cos \theta} - \frac{by}{\sin \theta} = a^2 - b^2
c
o
s
θ
a
x
−
s
i
n
θ
b
y
=
a
2
−
b
2
, then
(
x
,
y
)
(x, y)
(
x
,
y
)
lie on a. a circle b. a parabola c. an ellipse d. a hyperbola
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