Expert Mathematics Quadratic Equations Class 10 Level 28

किस विकल्प में मूलों का योग धनात्मक और गुणनफल ऋणात्मक होगा?

In which option will the sum of roots be positive and the product of roots be negative?

Explanation opens after your attempt
Correct Answer

A. \(x^2-6x-16=0\)

Step 1

Concept

In the first option, the sum is \(-\frac{b}{a}=6\) and the product is \(\frac{c}{a}=-16\). So the sum is positive and the product is negative.

Step 2

Why this answer is correct

The correct answer is A. \(x^2-6x-16=0\). In the first option, the sum is \(-\frac{b}{a}=6\) and the product is \(\frac{c}{a}=-16\). So the sum is positive and the product is negative.

Step 3

Exam Tip

पहले विकल्प में योग \(-\frac{b}{a}=6\) और गुणनफल \(\frac{c}{a}=-16\) है। इसलिए योग धनात्मक और गुणनफल ऋणात्मक है।

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Mathematics Answer, Explanation and Revision Hints

किस विकल्प में मूलों का योग धनात्मक और गुणनफल ऋणात्मक होगा? / In which option will the sum of roots be positive and the product of roots be negative?

Correct Answer: A. \(x^2-6x-16=0\). Explanation: पहले विकल्प में योग \(-\frac{b}{a}=6\) और गुणनफल \(\frac{c}{a}=-16\) है। इसलिए योग धनात्मक और गुणनफल ऋणात्मक है। / In the first option, the sum is \(-\frac{b}{a}=6\) and the product is \(\frac{c}{a}=-16\). So the sum is positive and the product is negative.

Which concept should I revise for this Mathematics MCQ?

In the first option, the sum is \(-\frac{b}{a}=6\) and the product is \(\frac{c}{a}=-16\). So the sum is positive and the product is negative.

What exam hint can help solve this Mathematics question?

पहले विकल्प में योग \(-\frac{b}{a}=6\) और गुणनफल \(\frac{c}{a}=-16\) है। इसलिए योग धनात्मक और गुणनफल ऋणात्मक है।

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