The answer is 0.48.

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MN=√(64+36)=10 MP=a-6, NP=a-8. This implies 2a-14=10, or a=12. The position coordinates of P are (7.2, 2.4) Therefore CP=12/√5. Thus m=12 and n=5. Therefore the required quantity is 12/25 or 0.48