Medium Mathematics Quadratic Equations Class 10 Level 32

यदि किसी द्विघात समीकरण के मूलों का गुणनफल ऋणात्मक है तो सही कथन कौन सा है?

If the product of roots of a quadratic equation is negative, which statement is correct?

Explanation opens after your attempt
Correct Answer

A. एक मूल धनात्मक और दूसरा ऋणात्मक हैOne root is positive and the other is negative

Step 1

Concept

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

Step 2

Why this answer is correct

The correct answer is A. एक मूल धनात्मक और दूसरा ऋणात्मक है / 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.

Step 3

Exam Tip

ऋणात्मक गुणनफल तभी होता है जब मूलों के चिन्ह विपरीत हों। इसलिए एक मूल धनात्मक और दूसरा ऋणात्मक होगा।

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Mathematics Answer, Explanation and Revision Hints

यदि किसी द्विघात समीकरण के मूलों का गुणनफल ऋणात्मक है तो सही कथन कौन सा है? / If the product of roots of a quadratic equation is negative, which statement is correct?

Correct Answer: A. एक मूल धनात्मक और दूसरा ऋणात्मक है / One root is positive and the other is negative. Explanation: ऋणात्मक गुणनफल तभी होता है जब मूलों के चिन्ह विपरीत हों। इसलिए एक मूल धनात्मक और दूसरा ऋणात्मक होगा। / A negative product occurs only when the roots have opposite signs. Therefore one root will be positive and the other negative.

Which concept should I revise for this Mathematics MCQ?

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

What exam hint can help solve this Mathematics question?

ऋणात्मक गुणनफल तभी होता है जब मूलों के चिन्ह विपरीत हों। इसलिए एक मूल धनात्मक और दूसरा ऋणात्मक होगा।

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