Question
Download Solution PDFजर (x – 1)2 + (y – 2)2 = (x – 1) (y – 2), जिथे x आणि y पूर्णांक असतील, तर 2x + 3y चे मूल्य काय आहे?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेल्याप्रमाणे,
(x - 1)2 + (y - 2)2 = (x – 1) (y - 2)
संकल्पना:/सूत्र:
(x – y)2 = k2
(x – y) = k किंवा (–k)
x = (k + y) किंवा (y – k)
गणना:
(x -1)2 + (y - 2)2 = (x – 1) (y - 2)
घेऊया,
⇒ (x – 1)2 = (x – 1) (y – 2)
⇒ (x – 1) = (y – 2)
⇒ x – y = -2 + 1
⇒ x – y = (-1) ----(1)
घेऊया,
⇒ (y – 2)2 = (x – 1) (y – 2)
⇒ (y – 2) = (x – 1)
⇒ x – y = -2 + 1
⇒ x – y = (-1) ----(2)
y = 2 आणि x = 1 मानू, तर
⇒ 1 – 2 = (-1)
(-1) = (-1) (पूर्तता होते)
आता,
2x + 3y
⇒ 2 × 1 + 3 × 2
⇒ 2 + 6
⇒ 8
Last updated on Jun 26, 2025
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