Expert Mathematics Quadratic Equations Class 10 Level 35

यदि \(x^2-14x+33=0\) के मूल \(\alpha,\beta\) हैं, तो नए मूल \(\alpha+5,\beta+5\) वाला समीकरण कौनसा है?

If roots of \(x^2-14x+33=0\) are \(\alpha,\beta\), which equation has roots \(\alpha+5,\beta+5\)?

Explanation opens after your attempt
Correct Answer

A. \(x^2-24x+128=0\)

Step 1

Concept

The roots are (3,11), so new roots are (8,16), and the equation is ((x-8)(x-16)=0). In exams, form the new roots and then the new equation.

Step 2

Why this answer is correct

The correct answer is A. \(x^2-24x+128=0\). The roots are (3,11), so new roots are (8,16), and the equation is ((x-8)(x-16)=0). In exams, form the new roots and then the new equation.

Step 3

Exam Tip

मूल (3,11) हैं, इसलिए नए मूल (8,16) होंगे और समीकरण ((x-8)(x-16)=0) है। परीक्षा में नए मूल बनाकर नया समीकरण लिखें।

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Mathematics Answer, Explanation and Revision Hints

यदि \(x^2-14x+33=0\) के मूल \(\alpha,\beta\) हैं, तो नए मूल \(\alpha+5,\beta+5\) वाला समीकरण कौनसा है? / If roots of \(x^2-14x+33=0\) are \(\alpha,\beta\), which equation has roots \(\alpha+5,\beta+5\)?

Correct Answer: A. \(x^2-24x+128=0\). Explanation: मूल (3,11) हैं, इसलिए नए मूल (8,16) होंगे और समीकरण ((x-8)(x-16)=0) है। परीक्षा में नए मूल बनाकर नया समीकरण लिखें। / The roots are (3,11), so new roots are (8,16), and the equation is ((x-8)(x-16)=0). In exams, form the new roots and then the new equation.

Which concept should I revise for this Mathematics MCQ?

The roots are (3,11), so new roots are (8,16), and the equation is ((x-8)(x-16)=0). In exams, form the new roots and then the new equation.

What exam hint can help solve this Mathematics question?

मूल (3,11) हैं, इसलिए नए मूल (8,16) होंगे और समीकरण ((x-8)(x-16)=0) है। परीक्षा में नए मूल बनाकर नया समीकरण लिखें।

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