Question

The centre and radius of the circle $2 x ^ { 2 } + 2 y ^ { 2 } - x = 0$ are.

• A. $\left( \frac { 1 } { 4 } , 0 \right)$ and $\frac { 1 } { 4 }$
• B. $\left( - \frac { 1 } { 2 } , 0 \right)$ and $\frac { 1 } { 2 }$
• C. $\left( \frac { 1 } { 2 } , 0 \right)$ and $\frac { 1 } { 2 }$
• D. $\left( 0 , - \frac { 1 } { 4 } \right)$ and $\frac { 1 } { 4 }$

Answer 1

Answer: (A)

$\left( \frac { 1 } { 4 } , 0 \right)$ and $\frac { 1 } { 4 }$

Answer 2

The circle is $x ^ { 2 } + y ^ { 2 } - \frac { 1 } { 2 } x = 0$.

Centre $( - g , - f ) = \left( \frac { 1 } { 4 } , 0 \right)$ and $R = \sqrt { \frac { 1 } { 16 } + 0 - 0 } = \frac { 1 } { 4 }$.