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If the roots of a quadratic equation are \(r\) and \(r\), what is their product?
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Answer and explanation
Correct answer: \(r^2\)
The two roots are \(r\) and \(r\), so their product is \(r \times r = r^2\). Option A, \(2r\), represents the sum of the roots, not their product. Exam tip: for equal roots \(r, r\), the sum is \(2r\) and the product is \(r^2\).
Frequently asked questions
What is the correct answer to this question?
\(r^2\)
Why is this the correct answer?
The two roots are \(r\) and \(r\), so their product is \(r \times r = r^2\). Option A, \(2r\), represents the sum of the roots, not their product. Exam tip: for equal roots \(r, r\), the sum is \(2r\) and the product is \(r^2\).
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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