Prove that for all values of $θ$ , the locus of the point of intersection of the lines x cos $θ + y sin θ = a$ and $x sin θ - y$ $cos θ = b$ is a circle.

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Prove that for all values of

θ

, the locus of the point of intersection of the lines x cos

θ + y sin θ = a

and

x sin θ - y

cos θ = b

is a circle.

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Question Text

Prove that for all values of

θ

, the locus of the point of intersection of the lines x cos

θ + y sin θ = a

and

x sin θ - y

cos θ = b

is a circle.

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