[tex] 6x^2 + 2y^2 - 9x +14y -68=0 [/tex](adsbygoogle = window.adsbygoogle || []).push({});

a) which conic is represented by the equation why?

I think the ellipse is represented by the equation because a does not = b and ab >0

b)What value of "a" would transform the conic into a circle?

I think when a=b and ab>0 then the conic will be transformed into a circle therefore the value of "a" will be 2 in order for the conic to transform into a circle.

c)What value of "b" would transform the original conic into a circle?

I think when b=a and ab>0 then the conic will be transformed into a circle. Therefore the value of "b" to transform the original conic into a circle would be 6.

d) What change would take place if the value of "a" and "b" were interchanged?

I think if the values of "a" and "b" were interchanged then the ellipse would change from being a horizontal ellipse to a vertical ellipse.

Can some1 plz help me out and tell me if any of my answers are wrong?

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# CHECK! Conics question on general form of conic equation

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