First slide

Graphs

Question

Plot the graph corresponding to the equation
$\frac{x^{2}}{16} + \frac{y^{2}}{9} = 1$ .

Easy

A

Parabola
B

Hyperbola
C

Circle
D

Ellipse

Solution

$\frac{x^{2}}{16} + \frac{y^{2}}{9} = 1$
The given equation can be written as
$\frac{x^{2}}{(4)^{2}} + \frac{y^{2}}{(3)^{2}} = 1$
Hence, the graph is an ellipse with semi-major axis = 4, along x-axis and semi-major axis = 3, along y-axis.

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