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Byju's Answer
Standard XII
Mathematics
Distance Formula
If x , y be t...
Question
If
(
x
,
y
)
be the Cartesian coordinates of the point whose polar coordinates are
(
√
2
,
π
2
)
, then the value of
x
4
+
y
4
is
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Solution
(
r
,
θ
)
≡
(
√
2
,
π
2
)
∵
x
=
r
cos
θ
y
=
r
sin
θ
∴
x
=
√
2
cos
π
2
and
y
=
√
2
sin
π
2
⇒
x
=
0
and
y
=
√
2
∴
x
4
+
y
4
=
4
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