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If the straight line x - 2y + 1 = 0 inte...

If the straight line `x - 2y + 1 = 0` intersects the circle `x^2 + y^2 = 25` at points P and Q, then find the coordinates of the point of intersection of the tangents drawn at P and Q to the circle `x^2 + y^2 = 25`.

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To solve the problem, we need to find the coordinates of the point of intersection of the tangents drawn at points P and Q where the line intersects the circle. Here’s a step-by-step solution: ### Step 1: Identify the equations We have the line given by: \[ x - 2y + 1 = 0 \] And the circle given by: \[ x^2 + y^2 = 25 \] ...
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