The equation represents

- a)circle
- b)ellipse
- c)pair of lines
- d)no real curve

Correct answer is option 'D'. Can you explain this answer?

Divya Patel
Dec 05, 2021 |

-by this equation it seems circle with center (-1,0)

but its not a real circle because radius =

√(g^2+f^2-c)=√(-1)

so it's not a circle

-for ellipse a>b but here both are same so not ellipse.

-for pair of straight lines take diterminant

|a h g|. put the value in this diterminant

|h b f|. if the answer of this is 0 so it's a

|g f c|. straight line. but on solving this we are getting a number so it's not a straight line

so option d is correct

but its not a real circle because radius =

√(g^2+f^2-c)=√(-1)

so it's not a circle

-for ellipse a>b but here both are same so not ellipse.

-for pair of straight lines take diterminant

|a h g|. put the value in this diterminant

|h b f|. if the answer of this is 0 so it's a

|g f c|. straight line. but on solving this we are getting a number so it's not a straight line

so option d is correct

-by this equation it seems circle with center (-1,0)but its not a real circle because radius =√(g^2+f^2-c)=√(-1)so it's not a circle-for ellipse a>b but here both are same so not ellipse.-for pair of straight lines take diterminant |a h g|. put the value in this diterminant |h b f|. if the answer of this is 0 so it's a |g f c|. straight line. but on solving this we are getting a number so it's not a straight line so option d is correct