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Question

The curve described parametrically by x=t2+2t+2,y=t2+2t+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=t2+2t+2,y=t2+2t+2.
That is y=x for all t.
So y=x represents a line passing through the origin.

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