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Quadratic Equations — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsQuadratic Equations1 Mark
MCQ
The discriminant of the equation $(2a + b) x = x^2+ 2ab$ is $......$
  • A
    $ \left(2 a+b^2\right)$
  • ✓
    $(2 a-b)^2 $
  • C
    $ (2 a+b)^2 $
  • D
    $\left(2 a-b^2\right)$
✓

Answer

Correct option: B.
$(2 a-b)^2 $
$ (2 a+b) x=x^2+2 a b $
$ x^2-(2 a+b) x+2 a b=0 $
$ D=b^2-4 a c $
$ D=[-(2 a+b)]^2-4 \times 1 \times 2 a b $
$ D=4 a^2+b^2+4 a b-8 a b $
$ D=4 a^2+b^2-4 a b $
$ D=(2 a-b)^2 $

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