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