Question

### Gauthmathier5301

Grade 9 · 2020-11-04

In the xy-plane above, a circle is tangent to the x-axis at R and the y-axis at P, and line \ell passes through the points of tangency. If the area of the circle is 100\pi, what is the equation of line \ell ? （ ）

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Answer

4.6(390) votes

### Gauthmathier9237

Grade 9 · 2020-11-04

Answer

B

Explanation

\pi r^{2}=100 \pi\rightarrow r=10\rightarrow OP=OR=10\rightarrow Slope =-\dfrac{10}{10}=-1\rightarrow Therefore, y=-x+10.

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