यदि (2x-2-(3t+1)x+t-2+t=0) की जड़ें (t) और \(\frac{t+1}{2}\) हैं, तो यह कथन किसके लिए सही है?
If the roots of (2x-2-(3t+1)x+t-2+t=0) are (t) and \(\frac{t+1}{2}\), for which values is this statement true?
Explanation opens after your attempt
Correct Answer
A. हर (t) के लिएFor every (t)
Concept
The sum is \(\frac{3t+1}{2}\) and the product is (\frac{t(t+1)}{2}). These match \(-\frac{b}{a}\) and \(\frac{c}{a}\) for every (t).
Why this answer is correct
The correct answer is A. हर (t) के लिए / For every (t). The sum is \(\frac{3t+1}{2}\) and the product is (\frac{t(t+1)}{2}). These match \(-\frac{b}{a}\) and \(\frac{c}{a}\) for every (t).
Exam Tip
इन जड़ों का योग \(\frac{3t+1}{2}\) और गुणनफल (\frac{t(t+1)}{2}) है। ये दिए गए समीकरण के \(-\frac{b}{a}\) और \(\frac{c}{a}\) से हर (t) पर मेल खाते हैं।
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