Question
Download Solution PDF6x - 5y + 11 = 0 మరియు 15x + ky - 9 = 0 అనే సమీకరణాలకు సాధన లేకపోతే, k యొక్క విలువ:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFఉపయోగించిన భావన:
x మరియు y అనే రెండు వేరియబుల్స్లోని సరళ సమీకరణాల జతను పరిగణించండి.
a1x + b1y + c1 = 0
a2x + b2y + c2 = 0
ఇక్కడ a1, b1, c1, a2, b2, c2 అన్నీ వాస్తవ సంఖ్యలు.
a12 + b12 ≠ 0, a22 + b22 ≠ 0 గమనించండి,
ఒకవేళ (a1/a2) = (b1/b2) ≠ (c1/c2) అప్పుడు సాధన ఉండదు.
గణన:
రెండు సమీకరణాలకు సాధన లేనప్పుడు, సమీకరణాల సమాంతర వ్యవస్థను ఉపయోగించాలీ,
అప్పుడు,
⇒ 6/15 = -5/k
⇒ k = -25/2
⇒ k = -12.5Last updated on Jun 11, 2025
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