Question
Download Solution PDF6x – 5y + 11 = 0 மற்றும் 15x + ky – 9 = 0 ஆகிய சமன்பாடுகளுக்கு தீர்வுகள் இல்லையெனில், kஇன் மதிப்பு என்ன?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFபயன்படுத்தப்பட்ட கருத்து:
நேரியல் சமன்பாடுகளின் ஜோடியைக் கவனியுங்கள்:
a 1 x + b 1 y + c 1 = 0
a 2 x + b 2 y + c 2 = 0
இங்கே a 1 , b 1 , c 1 , a 2 , b 2 , c 2 அனைத்தும் உண்மையான எண்கள்.
கவனிக்கவும், a 1 2 + b 1 2 ≠ 0, a 2 2 + b 2 2 ≠ 0
(a 1 /a 2 ) = (b 1 /b 2 ) ≠ (c 1 /c 2 ) எனில், தீர்வு இருக்காது.
இரண்டு சமன்பாடுகளுக்கு தீர்வு இல்லை என்றால், இணையான சமன்பாடுகளைப் பயன்படுத்துதல்,
அப்படியானால்,
⇒ 6/15 = -5/k
⇒ k = -25/2
⇒ k = -12.5
Last updated on Jun 26, 2025
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