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Standard XII
Maths
Question
The curve represented by
I
m
(
z
)
2
=
c
(
c
≠
0
)
is
a circle
an ellipse
a hyperbola
a rectangular hyperbola
A
an ellipse
B
a circle
C
a rectangular hyperbola
D
a hyperbola
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Solution
Verified by Toppr
Let
z
=
x
+
i
y
(
z
)
2
=
x
2
−
y
2
+
2
i
x
y
I
m
(
z
)
2
=
I
m
(
x
2
−
y
2
+
2
i
x
y
)
=
2
x
y
=
c
(given)
⇒
x
y
=
c
2
which is a rectangular hyperbola.
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