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Q.

The point P on the parabola y2=16x for which |PRPQ| is maximum, where R=(4,0),Q=(0,4) is ___

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a

(4,8)

b

(16,16)

c

(4,8)

d

(16,16)

answer is A.

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Detailed Solution

|PRPQ| is maximum when P is the point of intersection of parabola and line QR. Here it becomes a 
Tangent. So P is point of contact of tangent QR¯

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The point P on the parabola y2=16x for which |PR−PQ| is maximum, where R=(−4,0),Q=(0,4) is ___