परिमेय गुणांकों वाले किसी द्विघात बहुपद का एक शून्यक \(3-\sqrt{5}\) है। दूसरा शून्यक कौन सा होगा?
One zero of a quadratic polynomial with rational coefficients is \(3-\sqrt{5}\). What will be the other zero?
Explanation opens after your attempt
Correct Answer
A. \(3+\sqrt{5}\)
Concept
For rational coefficients, irrational zeroes usually occur in conjugate pairs. Hence the companion zero of \(3-\sqrt{5}\) is \(3+\sqrt{5}\).
Why this answer is correct
The correct answer is A. \(3+\sqrt{5}\). For rational coefficients, irrational zeroes usually occur in conjugate pairs. Hence the companion zero of \(3-\sqrt{5}\) is \(3+\sqrt{5}\).
Exam Tip
परिमेय गुणांकों में अपरिमेय शून्यक सामान्यतः संयुग्मी रूप में आते हैं। इसलिए \(3-\sqrt{5}\) का साथी शून्यक \(3+\sqrt{5}\) होगा।
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