Question
Download Solution PDFK का वह मान ज्ञात कीजिए जिसके लिए समीकरण x – Ky = 2, 3x + 2y = 5 का हल अद्वितीय है।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFअवधारणा:
व्यंजक पर विचार कीजिये: a1x + b1y + c = 0 और a2x + b2y + c = 0
समीकरण के लिए स्थिति अद्वितीय समाधान है अगर a1/a2 ≠ b1/b2
समीकरण के लिए स्थिति अनंत समाधान है अगर a1/a2 = b1/b2 = c1/c2
समीकरण के लिए स्थिति कोई समाधान नहीं है अगर a1/a2 = b1/b2 ≠ c1/c2
हिसाब:
समीकरण है x – Ky = 2, 3x + 2y = 5
यहां, a1 = 1, b1 = -k, a2 = 3, b2 = 2
1/3 ≠ -k / 2
K ≠ -2/3
∴ K का आवश्यक मान -2/3 के बराबर नहीं होना चाहिए
Last updated on Aug 9, 2024
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