Find the center, vertices, and foci of the ellipse with equation 3x2 + 7y2 = 21.

Center

Vertices  

Foci .

Step-by-step explanation:

The standard form of an ellipse is

   ...(1)

where, a>b, (0,0) is center, (±a,0) are vertices and (±c,0) are foci.

The given equation of ellipse is

Divide both sides by 21.

   ...(2)

On comparing (1) and (2), we get

Now,

Therefore,

Center

Vertices

Foci .

6mm^3 or .6cm^3

      216

      /   \

  36     6

  /   \     /

6     6   6

factor trees are nice.