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The parabola y^2=4x and the circle havin...

The parabola `y^2=4x` and the circle having its center at 6, 5) intersect at right angle. Then find the possible points of intersection of these curves.

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To find the points of intersection of the parabola \( y^2 = 4x \) and the circle centered at (6, 5) that intersect at right angles, we can follow these steps: ### Step 1: Identify the equations of the curves The equation of the parabola is given by: \[ y^2 = 4x \] The equation of the circle can be expressed in the standard form as: ...
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