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Question

If x + y + k = 0 is a tangent to the circle x2+y2 - 2x - 4y + 3 = 0 then k =

A
± 20
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B
–1, – 5
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C
± 2
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D
4
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Solution

The correct option is B –1, – 5
Radius = Distance from the centre C(1, 2) to x + y + k = 0
1+43 = |1 + 2 + k|2 |k+3| = 2 k + 3 = ± 2 k = -1, - 5

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