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Equation of a Chord with a Given Middle Point

A line passin...

Question

A line passing through $P (1, 2)$ inclined at an angle $θ$ with positive direction of x - axis cuts the circle $x^{2} + y^{2} - 6 x - 8 y + 24 = 0$ at A & B such that PA +PB = $4 \sqrt{2}$ , then the value of $c o s θ + s i n θ$ is

\frac{1}{\sqrt{2}}

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\sqrt{2}

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2 \sqrt{2}

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\frac{1}{2 \sqrt{2}}

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Solution

The correct option is B $\sqrt{2}$
Hence option(B) is the correct answer

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