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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
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
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
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