Question
Download Solution PDFयदि 12x – 7y = 5x + 3y, तो \(\frac{{5{x^2}\; + \;2{y^2}}}{{5{x^2} - 2{y^2}}}\) का मान ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
12x – 7y = 5x + 3y
गणना:
हमारे पास है 12x – 7y = 5x + 3y
⇒ 7x = 10y
⇒ x/y = 10/7
दोनों पक्षों का वर्ग करने पर, हमें मिलता है
x2/y2 = 100/49
\(\begin{array}{l} \Rightarrow {\rm{\;}}\frac{5}{2} \times \frac{{{x^2}}}{{{y^2}}} = \frac{5}{2} \times \frac{{100}}{{49}}\\ \Rightarrow {\rm{\;}}\frac{{5{x^2}}}{{2{y^2}}} = \frac{{500}}{{98}} \end{array}\)
योगांतरानुपात नियम के द्वारा
\(\begin{array}{l} \Rightarrow \frac{{5{x^2} + 2{y^2}}}{{5{x^2} - 2{y^2}}} = \frac{{500 + 98}}{{500 - 98}}\\ \Rightarrow \frac{{5{x^2} + 2{y^2}}}{{5{x^2} - 2{y^2}}} = \frac{{598}}{{402}}\\ \therefore \frac{{5{x^2} + 2{y^2}}}{{5{x^2} - 2{y^2}}} = \frac{{299}}{{201}} \end{array}\)
Last updated on Jul 11, 2025
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