Hard Mathematics Quadratic Equations Class 10 Level 30

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

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

Explanation opens after your attempt
Correct Answer

A. \(x^2+7x+12=0\)

Step 1

Concept

In the first option, the sum is \(-\frac{b}{a}=-7\) and the product is \(\frac{c}{a}=12\). So the sum is negative and the product is positive.

Step 2

Why this answer is correct

The correct answer is A. \(x^2+7x+12=0\). In the first option, the sum is \(-\frac{b}{a}=-7\) and the product is \(\frac{c}{a}=12\). So the sum is negative and the product is positive.

Step 3

Exam Tip

पहले विकल्प में योग \(-\frac{b}{a}=-7\) और गुणनफल \(\frac{c}{a}=12\) है। इसलिए योग ऋणात्मक और गुणनफल धनात्मक है।

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Mathematics Answer, Explanation and Revision Hints

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

Correct Answer: A. \(x^2+7x+12=0\). Explanation: पहले विकल्प में योग \(-\frac{b}{a}=-7\) और गुणनफल \(\frac{c}{a}=12\) है। इसलिए योग ऋणात्मक और गुणनफल धनात्मक है। / In the first option, the sum is \(-\frac{b}{a}=-7\) and the product is \(\frac{c}{a}=12\). So the sum is negative and the product is positive.

Which concept should I revise for this Mathematics MCQ?

In the first option, the sum is \(-\frac{b}{a}=-7\) and the product is \(\frac{c}{a}=12\). So the sum is negative and the product is positive.

What exam hint can help solve this Mathematics question?

पहले विकल्प में योग \(-\frac{b}{a}=-7\) और गुणनफल \(\frac{c}{a}=12\) है। इसलिए योग ऋणात्मक और गुणनफल धनात्मक है।

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