Question
Download Solution PDFबिंदु (1, 2) से होकर गुजरने वाली और रेखा y = 3x + 1 के समानांतर सीधी रेखा का समीकरण क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
दी गयी रेखा ax + by + c = 0 के समांनातर एक रेखा का समीकरण
ax + by + λ = 0 है,
जहाँ λ स्थिरांक है।
गणना:
y = 3x + 1
⇒ 3x - y + 1 = 0
दी गयी रेखा 3x - y + 1 = 0 के समानांतर एक रेखा का समीकरण 3x - y + λ = 0 है।
यह बिंदु (1, 2) से होकर गुजरती है।
⇒ (3 × 1) - 2 + λ = 0
⇒ 1 + λ = 0
∴ λ = -1
इसलिए, रेखा का समीकरण 3x - y - 1 = 0 है।
y = 3x - 1
⇒y - 2 = 3x - 1 - 2
⇒ y - 2 = 3x - 3
⇒y - 2 = 3(x - 1)
Last updated on May 19, 2025
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