Muft Shiksha
Update

Muft Shiksha™ एक 100% Free Education Portal है 🇮🇳, जिसका उद्देश्य Class 9–12 के हर विद्यार्थी तक High-Quality Education को पूरी तरह मुफ्त पहुँचाना है। 🇮🇳 हम मानते हैं कि अच्छी शिक्षा किसी student की आर्थिक स्थिति पर निर्भर नहीं होनी चाहिए। 🇮🇳 हर विद्यार्थी को वही Quality Study Material, MCQs, Quizzes, Exam Preparation, Concept-Based Learning और Bilingual Support मिलना चाहिए, जो आमतौर पर महंगी Coaching या Premium Platforms में मिलता है। Muft Shiksha™ 🇮🇳 इसी सोच के साथ बनाया गया है

Subjects
Class 10MathematicsQuadratic EquationsRoots of a Quadratic EquationExpert
0 reads0 ratings0 helpful

If (\alpha,\beta) are roots of (x^2-7x+10=0), what is (\alpha^2-6\alpha+\beta^2-6\beta)?

Answer and explanation

Correct answer: (-11)

Here (\alpha+\beta=7) and (\alpha\beta=10). Since (\alpha^2+\beta^2=49-20=29), the value is (29-6(7)=-13), so none of the options is correct.

Related tags

Quadratic-RootsRoot-ExpressionOption-CheckRoots Of A Quadratic EquationQuadratic EquationsMathematicsClass 10 Mcq
सुधार सुझाएँ / Earn

Was this question useful?

No ratings yetWrite a review / Rate this question

Student Reviews

No published reviews yet.

KEEP PRACTISING

10 more MCQs
  1. 1If p(x) = x² + 6x + 7, what type of zeroes does it have?
  2. 2If α is a root of p(x) = 0, which statement is correct?
  3. 3Which quadratic equation has roots x = 1 and x = 4?
  4. 4If the sum of the roots of 2x² + mx + 8 = 0 is −3, what is m?
  5. 5Which pair is the correct set of roots of x² − 2x − 15 = 0?
  6. 6Which quadratic equation has roots x = 2 and x = 7?
  7. 7If x = −5 and x = 2 are roots, what is the sum of the roots?
  8. 8If x = −3 is a root of 2x² + rx − 9 = 0, what is r?
  9. 9Which equation has roots x = 3 and x = 8?
  10. 10If x = −6 and x = 1 are roots, what is the sum of the roots?
Found an issue? Help improve this questionMy reports and replies

Add Muft Shiksha to your Home Screen

In Safari, tap Share, then Add to Home Screen.