Question
Download Solution PDFउस रेखा का समीकरण क्या है जो रेखा 2y + 5x - 2 = 0 के समानांतर है और (-1, 3) से होकर गुजरता है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
दो समांनातर रेखाओं में बराबर ढलान है।
एक सीधी रेखा का समीकरण y = mx + c
जहाँ रेखा का ढलान m है और c स्थिरांक है।
गणना:
दिया गया है 2y + 5x - 2 = 0
2y = -5x + 2
y = \(-5\over2\)x + 1
∴ ढलान m1 = \(-5\over2\)
रेखाएं एक-दूसरे के समानांतर है इसलिए m2 = m1 = \(-5\over2\)
आवश्यक रेखा का समीकरण निम्न है:
(y - 3) = \(-5\over2\) (x - (-1))
(y - 3) = (x + 1)
2y - 6 = - 5x - 5
2y + 5x - 6 + 5 = 0
2y + 5x - 1 = 0
Last updated on Jun 26, 2025
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