Which of the following equations represents a degenerate ellipse?

9x^2 +4y^2 = 1

x^2 y^2
---- + ---- = 2
14 19

x^2 y^2
----- = (-) ----
10 18

All of the above are degenerate ellipses.

Question

Which of the following equations represents a degenerate ellipse?
 
       9x^2 +4y^2 = 1
       
        x^2       y^2
        ---- +  ----  = 2
         14         19

         x^2            y^2
        ----- =  (-) ----
          10              18

        All of the above are degenerate ellipses.

anonymous · Answer

i dont understand this graphing them wasnt much help i dont really get it

anonymous · Answer

hi @phi i was wondering if you recall anything about degenerate ellipses ??

harsha19111999 · Answer

Hey I graphed this using a grapher

anonymous · Answer

i did too and i got this ....

anonymous · Answer

even then i dont really understand what to do

harsha19111999 · Answer

I got the first 2 as ellipses but the 3rd if we bring y to the left side, we get the equation equal to 0. Then its just a point at the origin

anonymous · Answer

meaning the degenerate ... n_n

anonymous · Answer

i graphed the third one and i didnt get anything ...

harsha19111999 · Answer

I got it

anonymous · Answer

ohh really mmmhhh

harsha19111999 · Answer

A degenerate ellipse is just a point with radius 0. So, The 3rd one is the correct answer

anonymous · Answer

ohhhhh!! a point lol that why i didnt get anything

harsha19111999 · Answer

See clearly

anonymous · Answer

thanksss n_n @Harsha19111999