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When the quadratic expression
\(y^2 - 7y + 12 = (y-p)(y-q)\)
is factorised, which statement about p and q is correct?किसी द्विघात व्यंजक को गुणनखंडित करने पर
\(y^2 - 7y + 12 = (y-p)(y-q)\)
प्राप्त होता है। p और q के बारे में कौन-सा कथन सही है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: The sum of p and q is 7 and their product is 12p और q का योग 7 तथा गुणनफल 12 है
\((y-p)(y-q)=y^2-(p+q)y+pq\)
. Comparing it with \(y^2-7y+12\)
gives p+q=7 and pq=12. A sum of -7 would produce +7y. Exam tip: expand the signs once to verify the middle term.\((y-p)(y-q)=y^2-(p+q)y+pq\)
होता है। अतः \(y^2-7y+12\)
से p+q=7 और pq=12 मिलते हैं। -7 लेने पर मध्य पद +7y बनता। परीक्षा में गुणनखंडों के चिन्ह विस्तार करके जाँचें।
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