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Quadratic Equations — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsQuadratic Equations1 Mark
MCQ
$9x^2+ 12x + 4 = 0$ have :
  • A
    Real and Distinct roots
  • B
    Distinct roots
  • ✓
    Real and Equal roots
  • D
    No real roots
✓

Answer

Correct option: C.
Real and Equal roots
Comparing the given equation to the below equation.
$ax^2+ bx + c = 0$
$a = 9, b = 12, c = 4$
$D = b^2- 4ac$
$D = 122 - 4 \times 9 \times 4$
$D = 144 - 144$
$D = 0$
If $b^2- 4ac = 0$ then equation have equal and real roots.

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