Let the angles made with the positive -axis by two straight lines drawn from the point P(2, 3) and meeting the line at a distance from the point P be and . Then the value of is: [2026]

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Solution

Q.
Let the angles made with the positive $x$ -axis by two straight lines drawn from the point P(2, 3) and meeting the line $x + y = 6$ at a distance $\sqrt{\frac{2}{3}}$ from the point P be $θ_{1}$ and $θ_{2}$ . Then the value of $(θ_{1} + θ_{2})$ is: [2026]

1 $\frac{π}{2}$

2 $\frac{π}{3}$

3 $\frac{π}{6}$

4 $\frac{π}{12}$

Ans.
(1)

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