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Q.

The distance between the points $(\cos θ, \sin θ)$ and $(\sin θ - \cos θ)$ is

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a

2

b

\sqrt{3}

c

1

d

\sqrt{2}

answer is B.

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Detailed Solution

\sqrt{{(\cos θ - \sin θ)}^{2} + {(\sin θ + \cos θ)}^{2}}

= \sqrt{2 (\sin^{2} θ + \cos^{2} θ)}

= \sqrt{2}

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The distance between the points (cosθ,sinθ) and (sinθ−cosθ) is