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Q.

Tangents are drawn to the parabola (x−3)2+(x+4)2=(3x−4y−6)225 at the extremities of the chord 2x−3y-18=0 Then the angle between the tangents is

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a

90o

b

45o

c

60o

d

30o

answer is A.

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Detailed Solution

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.
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Tangents are drawn to the parabola (x−3)2+(x+4)2=(3x−4y−6)225 at the extremities of the chord 2x−3y-18=0 Then the angle between the tangents is