Expert Mathematics Quadratic Equations Class 10 Level 28

समीकरण \(4x^2-13x+9=0\) के मूलों के व्युत्क्रमों का योग क्या है?

What is the sum of reciprocals of the roots of \(4x^2-13x+9=0\)?

Explanation opens after your attempt
Correct Answer

A. \( \frac{13}{9} \)

Step 1

Concept

The sum of reciprocals is \(\frac{\alpha+\beta}{\alpha\beta}\). Here it is \(\frac{\frac{13}{4}}{\frac{9}{4}}=\frac{13}{9}\).

Step 2

Why this answer is correct

The correct answer is A. \( \frac{13}{9} \). The sum of reciprocals is \(\frac{\alpha+\beta}{\alpha\beta}\). Here it is \(\frac{\frac{13}{4}}{\frac{9}{4}}=\frac{13}{9}\).

Step 3

Exam Tip

व्युत्क्रमों का योग \(\frac{\alpha+\beta}{\alpha\beta}\) होता है। यहाँ \(\frac{\frac{13}{4}}{\frac{9}{4}}=\frac{13}{9}\) है।

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Mathematics Answer, Explanation and Revision Hints

समीकरण \(4x^2-13x+9=0\) के मूलों के व्युत्क्रमों का योग क्या है? / What is the sum of reciprocals of the roots of \(4x^2-13x+9=0\)?

Correct Answer: A. \( \frac{13}{9} \). Explanation: व्युत्क्रमों का योग \(\frac{\alpha+\beta}{\alpha\beta}\) होता है। यहाँ \(\frac{\frac{13}{4}}{\frac{9}{4}}=\frac{13}{9}\) है। / The sum of reciprocals is \(\frac{\alpha+\beta}{\alpha\beta}\). Here it is \(\frac{\frac{13}{4}}{\frac{9}{4}}=\frac{13}{9}\).

Which concept should I revise for this Mathematics MCQ?

The sum of reciprocals is \(\frac{\alpha+\beta}{\alpha\beta}\). Here it is \(\frac{\frac{13}{4}}{\frac{9}{4}}=\frac{13}{9}\).

What exam hint can help solve this Mathematics question?

व्युत्क्रमों का योग \(\frac{\alpha+\beta}{\alpha\beta}\) होता है। यहाँ \(\frac{\frac{13}{4}}{\frac{9}{4}}=\frac{13}{9}\) है।

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