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Polynomials — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsPolynomials1 Mark
MCQ
If a + b + c = 9 and ab + bc + ca = 23, then a2 + b2 + c2 =
  • A
    127
  • B
    35
  • C
    58
  • D
    None of these.
✓

Answer

  1. 35
    Solution:
    (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca
    Hence, 92 = a2 + b2 + c2 + 2 × 23
    ⇒ a2 + b2 + c2 = 35

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