यदि \(3x^2+2x+\lambda=0\) की जड़ें वास्तविक नहीं हैं, तो \(\lambda\) पर सही शर्त क्या है?

If the roots of \(3x^2+2x+\lambda=0\) are not real, what is the correct condition on \(\lambda\)?

Explanation opens after your attempt
Correct Answer

A. \(\lambda>\frac{1}{3}\)

Step 1

Concept

For non-real roots, (D<0) is required. From \(4-12\lambda<0\), we get \(\lambda>\frac{1}{3}\).

Step 2

Why this answer is correct

The correct answer is A. \(\lambda>\frac{1}{3}\). For non-real roots, (D<0) is required. From \(4-12\lambda<0\), we get \(\lambda>\frac{1}{3}\).

Step 3

Exam Tip

वास्तविक नहीं होने के लिए (D<0) चाहिए। \(4-12\lambda<0\) से \(\lambda>\frac{1}{3}\) मिलता है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(3x^2+2x+\lambda=0\) की जड़ें वास्तविक नहीं हैं, तो \(\lambda\) पर सही शर्त क्या है? / If the roots of \(3x^2+2x+\lambda=0\) are not real, what is the correct condition on \(\lambda\)?

Correct Answer: A. \(\lambda>\frac{1}{3}\). Explanation: वास्तविक नहीं होने के लिए (D<0) चाहिए। \(4-12\lambda<0\) से \(\lambda>\frac{1}{3}\) मिलता है। / For non-real roots, (D<0) is required. From \(4-12\lambda<0\), we get \(\lambda>\frac{1}{3}\).

Which concept should I revise for this Mathematics MCQ?

For non-real roots, (D<0) is required. From \(4-12\lambda<0\), we get \(\lambda>\frac{1}{3}\).

What exam hint can help solve this Mathematics question?

वास्तविक नहीं होने के लिए (D<0) चाहिए। \(4-12\lambda<0\) से \(\lambda>\frac{1}{3}\) मिलता है।