Find the lengths of the major and minor axes of the ellipse graphed by following equation. $\frac { \left( x ^ { \prime } \right) ^ { 2 } } { 1 } + \frac { \left( y ^ { \prime } \right) ^ { 2 } } { 36 } = 1$
A)Length of major axis is $2 a = 2 \cdot ( - 1 ) = - 2$ Length of minor axis is $2 b = 2 \cdot ( - 6 ) = - 12$
B)Length of major axis is $2 a = 2 \cdot 1 = 2$ Length of minor axis is $2 b = 2 \cdot 6 = 12$
C)Length of major axis is $2 a = 2 \cdot ( - 6 ) = - 12$ Length of minor axis is $2 b = 2 \cdot ( - 1 ) = - 2$
D)Length of major axis is $2 a = 2 \cdot 6 = 12$ Length of minor axis is $2 b = 2 \cdot 1 = 2$
E)None of the above

Question

Find the lengths of the major and minor axes of the ellipse graphed by following equation.  $\frac { \left( x ^ { \prime } \right) ^ { 2 } } { 1 } + \frac { \left( y ^ { \prime } \right) ^ { 2 } } { 36 } = 1$ 
A)Length of major axis is $2 a = 2 \cdot ( - 1 ) = - 2$ Length of minor axis is $2 b = 2 \cdot ( - 6 ) = - 12$
B)Length of major axis is $2 a = 2 \cdot 1 = 2$ Length of minor axis is $2 b = 2 \cdot 6 = 12$
C)Length of major axis is $2 a = 2 \cdot ( - 6 ) = - 12$ Length of minor axis is $2 b = 2 \cdot ( - 1 ) = - 2$
D)Length of major axis is $2 a = 2 \cdot 6 = 12$ Length of minor axis is $2 b = 2 \cdot 1 = 2$
E)None of the above

Quizplus · Accepted Answer

The lengths of the axes of an ellipse given by the equation $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$ are $2a$ and $2b$, where $2a$ is the length of the major axis and $2b$ is the length of the minor axis. In the given equation, $a^2 = 36$ and $b^2 = 1$, so $a = 6$ and $b = 1$, making the length of the major axis $2a = 12$ and the length of the minor axis $2b = 2$.

Find the Lengths of the Major and Minor Axes of the Ellipse