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Question -

A straight line drawn through the point A (2, 1) making anangle π/4 with positive x–axis intersects another line x + 2y + 1 = 0in the point B. Find length AB.



Answer -

Given:

(x1, y1)= A (2, 1), θ = π/4 = 45°

Let us find the lengthAB.

By using the formula,

The equation of theline is given by:

x – y – 1 = 0

Let AB = r

Then, the coordinateof B is given by

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