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2 results found for "advanced_expression" in Class 10.

यदि \(x^2-8x+15=0\) के मूल \(\alpha\) और \(\beta\) हैं तो \(\frac{\alpha}{\beta}+\frac{\beta}{\alpha}\) का मान क्या है?

If \(\alpha\) and \(\beta\) are roots of \(x^2-8x+15=0\), what is the value of \(\frac{\alpha}{\beta}+\frac{\beta}{\alpha}\)?

Explanation opens after your attempt
Correct Answer

A. \(\frac{34}{15}\)

Step 1

Concept

Here \(\alpha+\beta=8\) and \(\alpha\beta=15\). The value is (\frac{\(\alpha+\beta\)2-2\alpha\beta}{\alpha\beta}=\frac{34}{15}).

Step 2

Why this answer is correct

The correct answer is A. \(\frac{34}{15}\). Here \(\alpha+\beta=8\) and \(\alpha\beta=15\). The value is (\frac{\(\alpha+\beta\)2-2\alpha\beta}{\alpha\beta}=\frac{34}{15}).

Step 3

Exam Tip

यहां \(\alpha+\beta=8\) और \(\alpha\beta=15\) है। मान (\frac{\(\alpha+\beta\)2-2\alpha\beta}{\alpha\beta}=\frac{34}{15}) होगा।

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यदि \(x^2-7x+12=0\) के मूल \(\alpha\) और \(\beta\) हैं तो \(\frac{\alpha}{\beta}+\frac{\beta}{\alpha}\) का मान क्या है?

If \(\alpha\) and \(\beta\) are roots of \(x^2-7x+12=0\), what is the value of \(\frac{\alpha}{\beta}+\frac{\beta}{\alpha}\)?

Explanation opens after your attempt
Correct Answer

A. \(\frac{25}{12}\)

Step 1

Concept

Here \(\alpha+\beta=7\) and \(\alpha\beta=12\). (\frac{\alpha}{\beta}+\frac{\beta}{\alpha}=\frac{\(\alpha+\beta\)2-2\alpha\beta}{\alpha\beta}=\frac{25}{12}).

Step 2

Why this answer is correct

The correct answer is A. \(\frac{25}{12}\). Here \(\alpha+\beta=7\) and \(\alpha\beta=12\). (\frac{\alpha}{\beta}+\frac{\beta}{\alpha}=\frac{\(\alpha+\beta\)2-2\alpha\beta}{\alpha\beta}=\frac{25}{12}).

Step 3

Exam Tip

यहां \(\alpha+\beta=7\) और \(\alpha\beta=12\) है। (\frac{\alpha}{\beta}+\frac{\beta}{\alpha}=\frac{\(\alpha+\beta\)2-2\alpha\beta}{\alpha\beta}=\frac{25}{12}) होगा।

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