If (a + b) : (a - b) = 15 : 1, then find the value of (a² + b²) : (a² - b²). यदि (a + b) : (a - b) = 15 : 1 है, तो (a² + b²) : (a² - b²) का मान ज्ञात कीजिए।
A
113:15 (113:15)
B
15:113 (15:113)
C
113:120 (113:120)
D
64:49 (64:49)
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Correct Answer 113:15
Explanation
Using componendo and dividendo: a/b = (15+1)/(15-1) = 16/14 = 8/7. Let a=8, b=7. (64+49)/(64-49) = 113/15.