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Question

If the line lx + my = 1 be a tangent to the circle x2+y2=a2, then the locus of the point (l, m) is

A

A straight line

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B

A Circle

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C
A parabola
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D
An ellipse
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Solution

The correct option is B

A Circle


If the line lx + my - 1 = 0 touches the circle x2+y2=a2, then applying the condition of tangency, we have ±l.0+m.01l2+m2=a

On squaring and simplifying, we get the required locus x2+y2=1a2. Hence it is a circle.


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