Statement $-1$: If two tangents are drawn to an ellipse from a single point and if they are perpendicular to each other,then the locus of that point is always a circle.
Statement $-2$: For an ellipse $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$,the locus of the point from which two perpendicular tangents are drawn is $x^2 + y^2 = a^2 + b^2$.

• A
  Statement $-1$ is true,statement $-2$ is true,but statement $-1$ is not the correct explanation for statement $-2$.
• B
  Statement $-1$ is true,statement $-2$ is false.
• C
  Statement $-1$ is false,statement $-2$ is true.
• D
  Both statements are true,and statement $-1$ is the correct explanation of statement $-2$.