Question
Download Solution PDFयदि समीकरण 6x – 5y + 11 = 0 और 15x + ky – 9 = 0 का कोई हल नहीं है, तो k का मान क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFप्रयुक्त अवधारणा:
दो चर x और y में रैखिक समीकरणों के युग्म पर विचार करें।
a1x + b1y + c1 = 0
a2x + b2y + c2 = 0
यहाँ a1, b1, c1, a2, b2, c2 सभी वास्तविक संख्याएँ हैं।
ध्यान दें कि, a12 + b12 ≠ 0, a22 + b22 ≠ 0
यदि (a1/a2) = (b1/b2) ≠ (c1/c2), तो कोई हल नहीं होगा।
गणना:
जब दो समीकरणों का कोई हल नहीं है, तब समीकरणों के समानांतर पद्धति का उपयोग करने पर,
तब,
⇒ 6/15 = -5/k
⇒ k = -25/2
⇒ k = -12.5
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