Question:
Let C be a circle of radius \(\sqrt 20\ cm. \) Let \(L_1, L_2\) be the lines given by \(2x − y −1 = 0\) and \(x + 2y−18 = 0\), respectively. Suppose that \(L_1\) passes through the center of C and that \(L_2\) is tangent to C at the point of intersection of \(L_1\) and \(L_2\). If (a,b) is the center of C, which of the following is a possible value of \(a + b\)?
Let C be a circle of radius \(\sqrt 20\ cm. \) Let \(L_1, L_2\) be the lines given by \(2x − y −1 = 0\) and \(x + 2y−18 = 0\), respectively. Suppose that \(L_1\) passes through the center of C and that \(L_2\) is tangent to C at the point of intersection of \(L_1\) and \(L_2\). If (a,b) is the center of C, which of the following is a possible value of \(a + b\)?
Updated On: Aug 9, 2024
- 11
- 17
- 8
- 20
- 14
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The Correct Option is B
Solution and Explanation
The correct option is (B): 17.
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