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raman malik Grade: 12
        the curve describes parametrically by x = t^2 +t+1 and y = t^2-t+1 represents 

A) STRAIGHT LINE
B) ELLIPSE
C) HYPERBOLA
D) PARABOLA
8 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Hi raman


x = t^2 +t+1 and y = t^2-t+1


just simply aubtract


x-y =2t


or t=(x-y)/2


Nor put yalue of t in any one of above equation


y=[(x-y)/2]2 - (x-y)/2 +1


simplify


x2+y2 -2xy-2x-2y +4 =0


compair this equation with the general equation


Δ not equal to zero


and h2 -ab=0


so its represent parabola


 


Regards


 Badiuddin


 



8 years ago
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