Answer: The answer is 
Step-by-step explanation: Given in the question that ΔAM is a right-angled triangle, where ∠C = 90°, CP ⊥ AM, AC : CM = 3 : 4 and MP - AP = 1. We are to find AM.
Let, AC = 3x and CM = 4x.
In the right-angled triangle ACM, we have

Now,

Now, since CP ⊥ AM, so ΔACP and ΔMCP are both right-angled triangles.
So,

Comparing equations (A) and (B), we have

Thus,

Answer: (C)2x + 8Y = 16


(0,2)

(8,0)
<span>Check the chart for a better understanding:
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Step-by-step explanation:
more information needed
2·(2 + 9 + 2/SIN(30°)) = 30