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Byju's Answer
Standard XII
Mathematics
Parametric Differentiation
The curve des...
Question
The curve described parametrically by
x
=
t
2
+
2
t
+
2
,
y
=
t
2
+
2
t
+
2
represent
A
straight line
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B
pair of straight
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C
circle
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D
parabola
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Solution
The correct option is
A
straight line
Given,
x
=
t
2
+
2
t
+
2
,
y
=
t
2
+
2
t
+
2
.
That is
y
=
x
for all
t
.
So
y
=
x
represents a line passing through the origin.
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