Question
Download Solution PDFसमीकरणों के रेखांकन
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
गणना:
⇒
अब,
समीकरण (1) में संख्या को 3 से गुणा करने पर, हम प्राप्त करते हैं
⇒ 12x + y = 8 ....(3)
पुनः, समीकरण (2) में संख्या को 24 से गुणा करने पर, हम प्राप्त करते हैं
⇒ 12x + 18y = -60 ...(4)
अब,
समीकरण (3) और (4) से, हम प्राप्त करते हैं
⇒ (18y – y) = (-60 – 8)
⇒ 17y = -68
⇒ y = -4
अब, y का मान समीकरण (3) में रखने पर, हम प्राप्त करते हैं
⇒ 12x – 4 = 8
⇒ 12x = 12
⇒ x = 1
इसलिए, P(1, -4)
अब,
दिए गए विकल्प के अनुसार
x + 2y – 5 = 0
⇒ (1 – 8 – 5) = 0
⇒ -12, 0 के बराबर नहीं है
इसलिए, यह बिंदु P को संतुष्ट नहीं करता है
पुनः,
3x – y – 7 = 0
⇒ (3 + 4 – 7) = 0
⇒ (7 – 7) = 0
⇒ 0 = 0
यह बिंदु P को संतुष्ट करता है
पुनः,
x – 3y – 12 = 0
⇒ (1 + 12 – 12) = 0
⇒ (13 – 12) = 0
⇒ 1, 0 के बराबर नहीं है
इसलिए, यह बिंदु P को संतुष्ट नहीं करता है
पुनः,
4x – y + 7 = 0
⇒ (4 + 4 + 7) = 0
⇒ 15, 0 के बराबर नहीं है
इसलिए, यह बिंदु P को संतुष्ट नहीं करता है
∴ बिंदु P भी समीकरण 3x - y - 7 = 0 के आरेख पर स्थित है।
Last updated on Jul 19, 2025
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