हिंदी

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

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प्रश्न

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

विकल्प

  • True

  • False

MCQ
सत्य या असत्य
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उत्तर

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

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अध्याय 4: Quadatric Euation - Exercise 4.2 [पृष्ठ ३८]

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एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 10
अध्याय 4 Quadatric Euation
Exercise 4.2 | Q 2.(v) | पृष्ठ ३८

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