किस विकल्प में परिमेय गुणांकों वाला द्विघात बहुपद बन सकता है?
Which option can form a quadratic polynomial with rational coefficients?
Explanation opens after your attempt
A. शून्यक \(6+\sqrt{5}\) और \(6-\sqrt{5}\)Zeroes \(6+\sqrt{5}\) and \(6-\sqrt{5}\)
Concept
With rational coefficients, irrational parts occur in conjugate pairs. Only \(6+\sqrt{5}\) and \(6-\sqrt{5}\) have both rational sum and rational product.
Why this answer is correct
The correct answer is A. शून्यक \(6+\sqrt{5}\) और \(6-\sqrt{5}\) / Zeroes \(6+\sqrt{5}\) and \(6-\sqrt{5}\). With rational coefficients, irrational parts occur in conjugate pairs. Only \(6+\sqrt{5}\) and \(6-\sqrt{5}\) have both rational sum and rational product.
Exam Tip
परिमेय गुणांकों में अपरिमेय भाग संयुग्मी जोड़े में आता है। केवल \(6+\sqrt{5}\) और \(6-\sqrt{5}\) का योग और गुणनफल दोनों परिमेय हैं।
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