The graph of the ellipse equation x²/9 + y²/16 = 1 is represented on the graph first option (A) is correct.
What is an ellipse?
An ellipse is a locus of a point that moves in a plane such that the sum of its distances from the two points called focus adds up to a constant. It is taken from the cone by cutting it at an angle.
It is given that:
The ellipse equation:
x²/9 + y²/16 = 1
We can write the above equation as follows:
x²/3² + y²/4² = 1
On comparing with the standard equation of ellipse:
x²/a² + y²/b² = 1
a = 3
b = 4
Plug x = ±3
and y = ±0
Or
Plug x = ±0
and y = ±4
In both cases the ellipse equation is satisfied.
From the graph: the ellipse curve passing the points: (0, ±4) and (±3, 0)
MInor axis length = 6
Major axis length = 8
Thus, the graph of the ellipse equation x²/9 + y²/16 = 1 is represented on the graph first option (A) is correct.
Learn more about the ellipse here:
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