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If x and y are two distinct real numbers such that x3 – xy2 = 0 then which of the following condition is correct?1. x = y2. x = 03. x = -y4. Either option 2 or 3 |
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Answer» Correct Answer - Option 4 : Either option 2 or 3 Given: x and y are two distinct real numbers which satisfied the given condition x3 – xy2 = 0 Concept Used: Concept of factorization Calculation: We can factorize the given condition ∴ x3 – xy2 = 0 ⇒ x (x2 – y2) = 0 ⇒ x = 0, x = y and x = -y But x and y are two distinct real numbers ∴ x ≠ y So, only two possibilities x = 0 and x = -y Hence, option (4) is correct |
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