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Given point A (6,30) and point B(24,6) equation of line AB is `4x+3y=114 . " point P " (0, lambda)` is a point on y-axis such that `0lt lambda lt 38` and point Q(0,K) is a point on y-axis such that `kgt 38`.
For all position of point P, angle APB is maximum when point P is

A

(0,12)

B

(0,15)

C

(0,18)

D

(0,21)

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The correct Answer is:
C
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