Class 11Mathematics10-1.Circle and System of CirclesGeometrical problems regarding circle and its properties
DifficultStatement $1$: The only circle having radius $\sqrt{10}$ and a diameter along the line $2x + y = 5$ is $x^2 + y^2 - 6x + 2y = 0$.
Statement $2$: $2x + y = 5$ is a normal to the circle $x^2 + y^2 - 6x + 2y = 0$.
Statement $2$: $2x + y = 5$ is a normal to the circle $x^2 + y^2 - 6x + 2y = 0$.
- AStatement $1$ is false; Statement $2$ is true.
- BStatement $1$ is true; Statement $2$ is true,Statement $2$ is a correct explanation for Statement $1$.
- CStatement $1$ is true; Statement $2$ is false.
- DStatement $1$ is true; Statement $2$ is true; Statement $2$ is not a correct explanation for Statement $1$.
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