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

Question

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

Badiuddin askIITians.ismu Expert · Answer

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 x 2 +y 2 -2xy-2x-2y +4 =0 compair this equation with the general equation &Delta; not equal to zero and h 2 -ab=0 so its represent parabola Regards Badiuddin

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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

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

1 Answers

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