Question
Download Solution PDFK चे मूल्य शोधा ज्यासाठी समीकरण x – Ky = 2, 3x + 2y = 5 मध्ये अद्वितीय निरसन आहे.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
पदावली विचारात घ्या: a 1 x + b 1 y + c = 0 आणि a 2 x + b 2 y + c = 0
जर 1/a2 ≠ b1/b2 असेल तर प्रणालीच्या स्थितीत अद्वितीय निरसन आहे
जर a1/a2 = b1/b2 = c1/c2 असेल तर प्रणालीच्या स्थितीत अनंत निरसन आहे
जर
a1/a2 = b1/b2 ≠ c1/c2
असेल तर प्रणालीसाठी स्थितीचे कोणतेही निरसन नाही
गणना:
असे समीकरण आहे x – Ky = 2, 3x + 2y = 5
येथे, a 1 = 1, b 1 = -k, a 2 = 3, b 2 = 2
1/3 ≠ -k/2
k ≠ -2/3
∴ K चे आवश्यक मूल्य -2/3 च्या समान नसावे
Last updated on Aug 9, 2024
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