Question
Download Solution PDFबिंदु (-1, -2), (0, 0), (1, 2) और (2, 4) ______ हैं।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFअवधारणा:
तीन बिंदुओं की समरूपता:
यदि XY-तल में A, B और C कोई तीन बिंदु हैं, तो वे एक रेखा पर स्थित होंगे, अर्थात, संरेखीय यदि और केवल यदि AB का ढलान = BC का ढलान
(x1, y1) और (x2, y2) से गुजरने वाली रेखा के ढलान को m = \(\rm \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\) द्वारा दिया गया है
गणना:
मान लीजिए चार बिंदु A(-1, -2), O(0, 0), B(1, 2) और C(2, 4) हैं
अब,
m1 = OA का ढलान = 2
m2 = OB का ढलान = 2
m3 = OC का ढलान = 2
चूंकि m1 = m2 = m3
अतः, बिंदु (-1, -2), (0, 0), (1, 2) और (2, 4) संरेखीय हैं
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