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Standard XII
Mathematics
Trigonometric Equations
Question
If
x
=
5
cos
θ
and
y
=
5
sin
θ
,
then
x
2
+
y
2
=
5
1
25
125
A
25
B
125
C
5
D
1
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Solution
Verified by Toppr
The correct option is
C
25
We know that
cos
2
θ
+
sin
2
θ
=
1
∴
x
2
+
y
2
=
(
5
cos
θ
)
2
(
5
sin
2
θ
)
2
⟹
x
2
+
y
2
=
25
cos
2
θ
+
25
sin
2
θ
⟹
x
2
+
y
2
=
25
(
cos
2
θ
+
sin
2
θ
)
⟹
x
2
+
y
2
=
25
(
1
)
⟹
x
2
+
y
2
=
25
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Similar Questions
Q1
If
x
=
5
cos
θ
and
y
=
5
sin
θ
,
then
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y
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=
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Q2
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(
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Q3
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Q5
If
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