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Subjects
Class 10MathematicsQuadratic EquationsRoots of a Quadratic EquationMediumLevel 32
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If the product of roots of a quadratic equation is negative, which statement is correct?

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Answer and explanation

Correct answer: One root is positive and the other is negative

A negative product occurs only when the roots have opposite signs. Therefore one root will be positive and the other negative.

Related tags

RootsSign Of RootsReasoning

Frequently asked questions

What is the correct answer to this question?

One root is positive and the other is negative

Why is this the correct answer?

A negative product occurs only when the roots have opposite signs. Therefore one root will be positive and the other negative.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Roots of a Quadratic Equation.

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  1. 1If α is a root of p(x) = 0, which statement is correct?
  2. 2Which quadratic equation has roots x = 1 and x = 4?
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  7. 7If x = −3 is a root of 2x² + rx − 9 = 0, what is r?
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