6x – 5y + 11 = 0 மற்றும் 15x + ky – 9 = 0 ஆகிய சமன்பாடுகளுக்கு தீர்வுகள் இல்லையெனில், kஇன் மதிப்பு என்ன?

This question was previously asked in
RRB ALP Previous Paper 17 (Held On: 21 Aug 2018 Shift 3)
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  1. -12.5
  2. 12.5
  3. -18
  4. 18

Answer (Detailed Solution Below)

Option 1 : -12.5
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பயன்படுத்தப்பட்ட 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

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