Expert Mathematics Quadratic Equations Class 10 Level 30

समीकरण \(x^2+2px+49=0\) के वास्तविक मूल होने की शर्त कौन-सी है?

What is the condition for \(x^2+2px+49=0\) to have real roots?

Explanation opens after your attempt
Correct Answer

A. \(p\leq -7\) या \(p\geq7\)\(p\leq -7\) or \(p\geq7\)

Step 1

Concept

For real roots, \(D\geq0\) is required. Here \(4p^2-196\geq0\), so \(p\leq-7\) or \(p\geq7\).

Step 2

Why this answer is correct

The correct answer is A. \(p\leq -7\) या \(p\geq7\) / \(p\leq -7\) or \(p\geq7\). For real roots, \(D\geq0\) is required. Here \(4p^2-196\geq0\), so \(p\leq-7\) or \(p\geq7\).

Step 3

Exam Tip

वास्तविक मूलों के लिए \(D\geq0\) होना चाहिए। यहाँ \(4p^2-196\geq0\), इसलिए \(p\leq-7\) या \(p\geq7\)।

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Mathematics Answer, Explanation and Revision Hints

समीकरण \(x^2+2px+49=0\) के वास्तविक मूल होने की शर्त कौन-सी है? / What is the condition for \(x^2+2px+49=0\) to have real roots?

Correct Answer: A. \(p\leq -7\) या \(p\geq7\) / \(p\leq -7\) or \(p\geq7\). Explanation: वास्तविक मूलों के लिए \(D\geq0\) होना चाहिए। यहाँ \(4p^2-196\geq0\), इसलिए \(p\leq-7\) या \(p\geq7\)। / For real roots, \(D\geq0\) is required. Here \(4p^2-196\geq0\), so \(p\leq-7\) or \(p\geq7\).

Which concept should I revise for this Mathematics MCQ?

For real roots, \(D\geq0\) is required. Here \(4p^2-196\geq0\), so \(p\leq-7\) or \(p\geq7\).

What exam hint can help solve this Mathematics question?

वास्तविक मूलों के लिए \(D\geq0\) होना चाहिए। यहाँ \(4p^2-196\geq0\), इसलिए \(p\leq-7\) या \(p\geq7\)।

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