If the coordinates of a variable point P be (a cos theta, b sin theta) where theta is a variable quantity find the locus of P.
Answers
Answered by
0
Step-by-step explanation:
Let, x=acosθ and y=bsinθ
Therefore,
=>
a
x
=cosθ ....(1)
and
b
y
=sinθ....(2)
On squaring and adding both the equation ,
we get,
(
a
x
)
2
+(
b
y
)
2
=cos
2
θ+sin
2
θ
=> (
a
x
)
2
+(
b
y
)
2
=1,
which is an ellipse.
Answered by
0
Let, x=acosθ and y=bsinθ
Therefore,
=>
a
x
=cosθ ....(1)
and
b
y
=sinθ....(2)
On squaring and adding both the equation ,
we get,
(
a
x
)
2
+(
b
y
)
2
=cos
2
θ+sin
2
θ
=> (
a
x
)
2
+(
b
y
)
2
=1,
which is an ellipse.
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