Question
Download Solution PDFउस बिंदु के निर्देशांक जो (5, 6) और (-3, 6) के जोड़ को 3 ∶ 5 के अनुपात में विभाजित करते हैं:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
बिंदु (5, 6) और (-3, 6)
अवधारणा:
यदि (x, y), (x1, y1) और (x2, y2) को m:n के अनुपात में विभाजित करता है तो
\(\rm x=\frac{mx_2+nx_1}{m+n}\) और y = \(\frac{my_2+ny_1}{m+n}\)
गणना:
माना उस बिंदु के निर्देशांक (x , y) हैं जो (5, 6) और (-3, 6) के जोड़ को 3 ∶ 5 के अनुपात में विभाजित करता है।
तब
\(\rm x=\frac{3(-3)+5(5)}{3+5}=\frac{16}{8}=2\)
और
\(\rm y=\frac{3(6)+5(6)}{3+5}=\frac{48}{8}=6\)
इसलिए वह उस बिंदु के निर्देशांक हैं जो (5, 6) और (-3, 6) के जोड़ को 3 ∶ 5 के अनुपात में विभाजित करता है, (2, 6) हैं।
अतः विकल्प (2) सही है।
Last updated on Jul 11, 2025
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