Question
Download Solution PDFजर 6x - 5y + 11 = 0 आणि 15x + ky - 9 = 0 ह्या समीकरणांचे कोणतेही उकल नसतील तर k चे मूल्य शोधा.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFवापरलेली संकल्पना:
x आणि y या दोन चलांमधील रेखीय समीकरणांच्या जोडीचा विचार करा.
a1x + b1y + c1 = 0
a2x + b2y + c2 = 0
येथे a1, b1, c1, a2, b2, c2 या सर्व वास्तविक संख्या आहेत.
लक्षात ठेवा, a12 + b12 ≠ 0, a22 + b22 ≠ 0
जर (a1/a2) = (b1/b2) ≠ (c1/c2), तर कोणतेही समाधान होणार नाही.
गणना:
जेव्हा दोन समीकरणांना कोणतेही समाधान नसते तेव्हा समांतर समीकरण प्रणाली वापरून,
मग,
⇒ 6/15 = -5/k
⇒ k = -25/2
⇒ k = -12.5Last updated on Jun 11, 2025
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