यदि (p(x)=\lambda x+10) और इसका शून्यक (-2) से छोटा है, तो \(\lambda>0\) होने पर कौन सी शर्त सही है?

If (p(x)=\lambda x+10) and its zero is less than (-2), which condition is correct when \(\lambda>0\)?

Author: Muft Shiksha Editorial Team Published:
Explanation opens after your attempt
Correct Answer

A. \(0<\lambda<5\)

Step 1

Concept

The zero is \(-\frac{10}{\lambda}\). From \(-\frac{10}{\lambda}<-2\) and \(\lambda>0\), we get \(0<\lambda<5\).

Step 2

Why this answer is correct

The correct answer is A. \(0<\lambda<5\). The zero is \(-\frac{10}{\lambda}\). From \(-\frac{10}{\lambda}<-2\) and \(\lambda>0\), we get \(0<\lambda<5\).

Step 3

Exam Tip

शून्यक \(-\frac{10}{\lambda}\) है। \(-\frac{10}{\lambda}<-2\) और \(\lambda>0\) से \(0<\lambda<5\) मिलता है।

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Mathematics Answer, Explanation and Revision Hints

यदि (p(x)=\lambda x+10) और इसका शून्यक (-2) से छोटा है, तो \(\lambda>0\) होने पर कौन सी शर्त सही है? / If (p(x)=\lambda x+10) and its zero is less than (-2), which condition is correct when \(\lambda>0\)?

Correct Answer: A. \(0<\lambda<5\). Explanation: शून्यक \(-\frac{10}{\lambda}\) है। \(-\frac{10}{\lambda}<-2\) और \(\lambda>0\) से \(0<\lambda<5\) मिलता है। / The zero is \(-\frac{10}{\lambda}\). From \(-\frac{10}{\lambda}<-2\) and \(\lambda>0\), we get \(0<\lambda<5\).

Which concept should I revise for this Mathematics MCQ?

The zero is \(-\frac{10}{\lambda}\). From \(-\frac{10}{\lambda}<-2\) and \(\lambda>0\), we get \(0<\lambda<5\).

What exam hint can help solve this Mathematics question?

शून्यक \(-\frac{10}{\lambda}\) है। \(-\frac{10}{\lambda}<-2\) और \(\lambda>0\) से \(0<\lambda<5\) मिलता है।