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Pritish Chakraborty Grade: 12
        

The curve described parametrically by x = t2 + t + 1 and y = t2 - t + 1 is


A)St line


B)Ellipse


C)Parabola


D)Hyperbola

8 years ago

Answers : (3)

Askiitians Academic Expert
8 Points
										












Dear Pritish,


The parametric equations given are


X = t2 + t + 1 and y = t2 – t +1


Or,  x = t2 + t + 1        (i)


        y = t2 – t +1         (ii)


  -          -      +   -


---------------------



x – y = 2t


This is the equation of a straight line. You change the parameter t, you get different lines.

8 years ago
Mardava Rjgpl
18 Points
										

Um, actually, on solving you get,


x + y = 2(t^2 + 1)


x - y = 2t


and hence, x^2 + y^2 - 2xy - 2x - 2y + 4 = 0


which turns out to be a parabola, right?

7 years ago
saumya singla
18 Points
										

yes it will be a parabola. not a straight line.

5 years ago
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