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Which of the following is the equation o...

Which of the following is the equation of the circle that has its center at the origin and is tangent to the line with equation `3x-4y=10`?

A

`x^(2)+y^(2)=2`

B

`x^(2)+y^(2)=3`

C

`x^(2)+y^(2)=4`

D

`x^(2)+y^(2)=5`

Text Solution

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The correct Answer is:
C
The distance between the point (0,0) and the line `3x-4y=10` as 2. therefore, the radius of the circle is 2, and its equation is `x^(2)+y^(2)=4`.
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