यदि  है और a - b = 2 है, तो a3 - bका मान क्या होगा?

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  2. 1
  3. - 1

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Option 1 : 0
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दिया गया है:

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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