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If the roots of (x^2-4x+k=0) are (\sin \theta) and (\cos \theta), what is the maximum possible value of (k)?यदि (x^2-4x+k=0) की जड़ें (\sin \theta) और (\cos \theta) हैं, तो (k) का अधिकतम संभव मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: No such real (\theta)ऐसा कोई वास्तविक (\theta) नहीं
We would need (\sin \theta+\cos \theta=4), but its maximum is (\sqrt{2}). Therefore no real (\theta) is possible.(\sin \theta+\cos \theta=4) होना पड़ेगा, पर इसका अधिकतम (\sqrt{2}) है। इसलिए ऐसा वास्तविक (\theta) संभव नहीं है।
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