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Question

If the line 3x + 4y - 1 = 0 touches the circle (x−1)2+(y−2)2=r2, then the value of r will be


A

2

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B

5

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C

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D

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Solution

The correct option is A

2


If the line 3x + 4y - 1 = 0 touches the circle (x−1)2+(y−2)2=r2, then the perpendicular from centre of circle on line is equal to the radius of circle i.e., ∣∣3+8−15∣∣ = r or r = 2.


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