Answered

Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Experience the convenience of getting reliable answers to your questions from a vast network of knowledgeable experts. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

What does the equation x^2 + y^2 + 2x +1 =0 represent ? Please explain .
a. a parabola
b. an ellipse
c. a point
d. a circle


Sagot :

ollieboyne
The equation represents a circle.

If you factorise the equation, you get:

[tex]x^2 + y^2 + 2x +1 =0 \\(x+1)^2-1+(y)^2=0\\(x+1)^2+y^2=1[/tex]

This final equation shows the equation of a circle, as a circle's equation is given as:

[tex](x+a)^2+(y+b)^2=r^2[/tex]
olemakpadu
It a circle because, the equation is a degree 2 equation. That is squared.

The coefficient of x^2 and y^2 are the same.

There is no term term xy.

And a parabola is of the form y^2  =  4ax    or  x^2 = 4ay.

And an ellipse is of the form:    (x^2)/(a^2)  +  (y^2)/(b^2)  =  1.

Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.