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$Tangents are drawn to the parabola (x - 3)^{2} + (x + 4)^{2} = \frac{(3 x - 4 y - 6)^{2}}{25} at the extremities of the chord 2 x - 3 y - 18 = 0$
$Then the angle between the tangents is$

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detailed solution

Correct option is A

The given chord 2x−3y−18=0 satisfies the point (3, −4 ) which is the focus of the given parabola. Hence, it is a focal chord and the tangents at extremities are perpendicular. since the tangents drawn at the ends of a focal chord intersects on the directrix and angle between them is π2

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