Graph the ellipse 49x2 16y2 784 Choose the correct graph b

Graph the ellipse. 49x^2 + 16y^2 = 784 Choose the correct graph below A. B. C. D.

Solution

The given equation is : 49 x²+ 16y²= 784 , dividing by 784

x² / 16 + y² / 49 = 1

is of the form x² / a² +y² / b² = 1 where \'a\' is the semi major axis and \'b\' is the semi minor axis

here a²  = 16 => a= 4 and b² = 49 => b= 7

option \'B\' is the graph of the curve