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Andhra Pradesh SSC (Class 10) Quadratic Equations — practice questions — page 3

Explore 63 free Quadratic Equations questions in Andhra Pradesh SSC (Class 10) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Quadratic Equations questions and exercises with answers

Showing questions 61–63 of 63.

If alpha and beta are roots of x^2 - 7x + 10 = 0, then alpha + beta + alpha*beta equalsRead the answer and worked solution →Solve by completing the square: x^2 + 6x + 5 = 0. Roots areRead the answer and worked solution →The area of a rectangle is 60 sq cm and length exceeds breadth by 4 cm. Breadth isRead the answer and worked solution →

Worked practice questions

If alpha and beta are roots of x^2 - 7x + 10 = 0, then alpha + beta + alpha*beta equals

  1. 7
  2. 17
  3. 10
  4. 3
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Correct answer: B. 17

1. For x^2 - 7x + 10 = 0, sum of roots = 7 and product = 10. 2. alpha + beta = 7 and alpha * beta = 10. 3. Required value = 7 + 10. 4. So the answer is 17. _Source: Selina Concise Mathematics Class 10, Ch 5 Quadratic Equations (Mistral OCR'd PDF), section on relations_

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Solve by completing the square: x^2 + 6x + 5 = 0. Roots are

  1. -1 and 5
  2. 1 and 5
  3. -1 and -5
  4. 1 and -5
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Correct answer: C. -1 and -5

1. Rewrite: x^2 + 6x = -5, add 9 on both sides. 2. (x + 3)^2 = 4. 3. Take square root: x + 3 = plus or minus 2. 4. So x = -1 or x = -5. _Source: Selina Concise Mathematics Class 10, Ch 5 Quadratic Equations (Mistral OCR'd PDF), section on completing the square_

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The area of a rectangle is 60 sq cm and length exceeds breadth by 4 cm. Breadth is

  1. 10 cm
  2. 5 cm
  3. 8 cm
  4. 6 cm
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Correct answer: D. 6 cm

1. Let breadth be b; length = b + 4. 2. Area: b(b + 4) = 60, i.e. b^2 + 4b - 60 = 0. 3. Factor: (b - 6)(b + 10) = 0, take positive b = 6. 4. So breadth is 6 cm. _Source: Selina Concise Mathematics Class 10, Ch 5 Quadratic Equations (Mistral OCR'd PDF), section on word problems_

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More Mathematics topics

Real Numbers and PolynomialsArithmetic ProgressionStatistics and ProbabilityLinear Equations in Two VariablesTriangles and CirclesIntroduction to TrigonometrySurface Areas and VolumesAreas Related to Circles