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Standard XII
Mathematics
Question
If
x
=
a
cos
θ
and
y
=
b
sin
θ
then
x
2
a
2
+
y
2
b
2
=
1
b
2
a
2
+
b
2
a
2
A
a
2
+
b
2
B
a
2
C
b
2
D
1
Open in App
Solution
Verified by Toppr
The correct option is
C
1
x
a
=
cos
θ
a
n
d
y
a
=
sin
θ
Square and add to get 1
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Similar Questions
Q1
If
x
=
a
cos
θ
and
y
=
b
sin
θ
then
x
2
a
2
+
y
2
b
2
=
View Solution
Q2
If
x
=
a
cos
θ
+
b
sin
θ
and
y
=
a
sin
θ
−
b
cos
θ
, then
a
2
+
b
2
=
x
2
+
y
2
.
View Solution
Q3
If
x
=
a
sin
θ
+
b
cos
θ
and
y
=
a
cos
θ
−
b
sin
θ
, then prove that
x
2
+
y
2
=
a
2
+
b
2
View Solution
Q4
If
x
a
cos
θ
+
y
b
sin
θ
=
1
a
n
d
x
a
sin
θ
−
y
b
cos
θ
=
1
, prove that
x
2
a
2
+
y
2
b
2
=
2
View Solution
Q5
If x = a cos θ and y = b sin θ, then b
2
x
2
+ a
2
y
2
=
(a) a
2
b
2
(b) ab
(c) a
4
b
4
(d) a
2
+ b
2