Easy Mathematics Quadratic Equations Class 10 Level 37

समीकरण \(2x^2+3x+\lambda=0\) के वास्तविक और असमान मूलों के लिए कौन सी शर्त सही है?

For \(2x^2+3x+\lambda=0\) to have real and distinct roots, which condition is correct?

Explanation opens after your attempt
Correct Answer

A. \(\lambda<\frac{9}{8}\)

Step 1

Concept

(D=32-4(2)\lambda=9-8\lambda). From (D>0), we get \(\lambda<\frac{9}{8}\).

Step 2

Why this answer is correct

The correct answer is A. \(\lambda<\frac{9}{8}\). (D=32-4(2)\lambda=9-8\lambda). From (D>0), we get \(\lambda<\frac{9}{8}\).

Step 3

Exam Tip

(D=32-4(2)\lambda=9-8\lambda) है। (D>0) से \(\lambda<\frac{9}{8}\) मिलता है।

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Mathematics Answer, Explanation and Revision Hints

समीकरण \(2x^2+3x+\lambda=0\) के वास्तविक और असमान मूलों के लिए कौन सी शर्त सही है? / For \(2x^2+3x+\lambda=0\) to have real and distinct roots, which condition is correct?

Correct Answer: A. \(\lambda<\frac{9}{8}\). Explanation: (D=32-4(2)\lambda=9-8\lambda) है। (D>0) से \(\lambda<\frac{9}{8}\) मिलता है। / (D=32-4(2)\lambda=9-8\lambda). From (D>0), we get \(\lambda<\frac{9}{8}\).

Which concept should I revise for this Mathematics MCQ?

(D=32-4(2)\lambda=9-8\lambda). From (D>0), we get \(\lambda<\frac{9}{8}\).

What exam hint can help solve this Mathematics question?

(D=32-4(2)\lambda=9-8\lambda) है। (D>0) से \(\lambda<\frac{9}{8}\) मिलता है।

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