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Question

The line lx + my + n = 0 will be a tangent to the circle x2+y2=a2 iff

A
n2(l2+m2)=a2
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B
a2(l2+m2)=n2
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C
n(l + m) = a
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D
a(l + m) = n
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Solution

The correct option is B a2(l2+m2)=n2
Line y = mx + c is tangent, if c=± a1+m2.
Now lx + my + n = 0 or y=1mxnm is tangent, if nm=±a1+(1m)2 or n2=a2(m2+l2).

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