Ifab=45 and bc=1516 then c2-a2c2+a2 is-

A 17
B 725
C 34
D none of these

Correct Answer: 725

ab = 45.:. a:b = 4:5 = (4 × 3):(5 × 3) = 12:15 এবং bc = 1516 .:. b:c = 15:16 .:. a:b:c = 12:15:16 .:. c:a = 16:12⇒ ca = 1612 ⇒ c2a2 =  256144.:. c2 - a2c2 + a2 = 256 - 144256 + 144[বিয়োজন - যোজন করে পাই] = 112400 = 725
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