Hard Mathematics Polynomials Class 10 Level 27

यदि (p(x)=x-2-12x+31), तो शून्यकों के बीच का अंतर क्या है?

If (p(x)=x-2-12x+31), what is the difference between its zeroes?

Explanation opens after your attempt
Correct Answer

A. \(2\sqrt{5}\)

Step 1

Concept

The zeroes are \(6\pm\sqrt{5}\), so the difference is \(2\sqrt{5}\). The difference of conjugate zeroes is (2) times the radical part.

Step 2

Why this answer is correct

The correct answer is A. \(2\sqrt{5}\). The zeroes are \(6\pm\sqrt{5}\), so the difference is \(2\sqrt{5}\). The difference of conjugate zeroes is (2) times the radical part.

Step 3

Exam Tip

शून्यक \(6\pm\sqrt{5}\) हैं, इसलिए अंतर \(2\sqrt{5}\) है। संयुग्मी शून्यकों का अंतर (2) गुणा मूल पद होता है।

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Mathematics Answer, Explanation and Revision Hints

यदि (p(x)=x-2-12x+31), तो शून्यकों के बीच का अंतर क्या है? / If (p(x)=x-2-12x+31), what is the difference between its zeroes?

Correct Answer: A. \(2\sqrt{5}\). Explanation: शून्यक \(6\pm\sqrt{5}\) हैं, इसलिए अंतर \(2\sqrt{5}\) है। संयुग्मी शून्यकों का अंतर (2) गुणा मूल पद होता है। / The zeroes are \(6\pm\sqrt{5}\), so the difference is \(2\sqrt{5}\). The difference of conjugate zeroes is (2) times the radical part.

Which concept should I revise for this Mathematics MCQ?

The zeroes are \(6\pm\sqrt{5}\), so the difference is \(2\sqrt{5}\). The difference of conjugate zeroes is (2) times the radical part.

What exam hint can help solve this Mathematics question?

शून्यक \(6\pm\sqrt{5}\) हैं, इसलिए अंतर \(2\sqrt{5}\) है। संयुग्मी शून्यकों का अंतर (2) गुणा मूल पद होता है।

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