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If the coefficient of x2 and the constant term of a quadratic equation have opposite signs, then the quadratic equation has real roots. - Mathematics

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MCQ
True or False

If the coefficient of x2 and the constant term of a quadratic equation have opposite signs, then the quadratic equation has real roots.

Options

  • True

  • False

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Solution

This statement is True.

Explanation:

Because in this case discriminant is always positive.

For example, in ax2+ bx + c = 0, as a and c have opposite sign, ac < 0

⇒ Discriminant = b2 – 4ac > 0.

Concept: Nature of Roots
  Is there an error in this question or solution?

APPEARS IN

NCERT Mathematics Exemplar Class 10
Chapter 4 Quadatric Euation
Exercise 4.2 | Q 2.(v) | Page 38
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