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Choose the correct condition on (k) for real roots of (4x^2+4kx+9=0).समीकरण (4x^2+4kx+9=0) के वास्तविक मूलों के लिए (k) पर सही शर्त चुनिए।
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (k\leq-\frac{3}{2}) or (k\geq\frac{3}{2})(k\leq-\frac{3}{2}) या (k\geq\frac{3}{2})
Here (D=(4k)^2-4(4)(9)=16(k^2-9)). For real roots (k^2\geq9), so (k\leq-\frac{3}{2}) or (k\geq\frac{3}{2}).यहाँ (D=(4k)^2-4(4)(9)=16(k^2-9)) है। वास्तविक मूलों के लिए (k^2\geq9) यानी (k\leq-\frac{3}{2}) या (k\geq\frac{3}{2})।
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