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Mathematics
Mathematics
Problem
The equation of the line which passes through
(
a
cos
3
θ
,
a
sin
3
θ
)
(a \cos^3 \theta, a \sin^3 \theta)
(
a
cos
3
θ
,
a
sin
3
θ
)
and perpendicular to the line
x
sec
θ
+
y
cosec
θ
=
a
x \sec \theta + y \operatorname{cosec} \theta = a
x
sec
θ
+
y
cosec
θ
=
a
is - (A)
x
cos
θ
+
y
sin
θ
=
2
a
cos
2
θ
x \cos \theta + y \sin \theta = 2a \cos 2\theta
x
cos
θ
+
y
sin
θ
=
2
a
cos
2
θ
(B)
x
sin
θ
−
y
cos
θ
=
2
a
sin
2
θ
x \sin \theta - y \cos \theta = 2a \sin 2\theta
x
sin
θ
−
y
cos
θ
=
2
a
sin
2
θ
(D)
x
cos
θ
−
y
sin
θ
=
a
cos
2
θ
x \cos \theta - y \sin \theta = a \cos 2\theta
x
cos
θ
−
y
sin
θ
=
a
cos
2
θ
(C)
x
sin
θ
+
y
cos
θ
=
2
a
cos
2
θ
x \sin \theta + y \cos \theta = 2a \cos 2\theta
x
sin
θ
+
y
cos
θ
=
2
a
cos
2
θ
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