Question
Download Solution PDFयदि \(\frac{a}{b} + \frac{b}{a} = -1\) है और a - b = 2 है, तो a3 - b3 का मान क्या होगा?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
\(\frac{a}{b} + \frac{b}{a} = -1\)
प्रयुक्त अवधारणा:
यदि x + 1/x = - 1
तब, x3 = 1
गणना:
माना, (a/b) = x
अब समीकरण है:-
x + 1/x = - 1
इसलिए, x3 = 1------- (1)
x का मान समीकरण (1) में रखने पर,
⇒ x3 = 1
⇒ (a/b)3 = 1
⇒ a3 = b3 ------- (2)
दिए गए समीकरण में समीकरण (2) का मान रखने पर:
⇒ a3 - b3
⇒ a3 - a3 = 0
∴ सही उत्तर 0 है।
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