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Question -

If the straight line through the point P(3, 4) makes an angle π/6 with the x–axis and meets the line 12x + 5y + 10 = 0 at Q, find the length PQ.



Answer -

Given:

(x1, y1)= A (3, 4), θ = π/6 = 30°

Let us find the lengthPQ.

By using the formula,

The equation of theline is given by:

x – √3 y + 4√3 – 3 = 0

Let PQ = r

Then, the coordinateof Q are given by

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