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निर्देशांक ज्यामिति

Question
CBSEHHIMAH10010053

उस त्रिभुज का क्षेत्रफल ज्ञात कीजिए जिसके शीर्ष हैं:
(2, 3), (–1, 0), (2, – 4)

Solution

बिंदु दिए हैं: A(2, 3), B(-1, 0), C(2, -4)
यहाँ,
       x1 = 2, y1 = 3
       x2 = -1, y2 = 0
       x3 = 2, y3 = -4
∆ABC का क्षेत्रफल
      equals 1 half left square bracket straight x subscript 1 left parenthesis straight y subscript 2 minus straight y subscript 3 right parenthesis plus straight x subscript 2 left parenthesis straight y subscript 3 minus straight y subscript 1 right parenthesis plus straight x subscript 3 left parenthesis straight y subscript 1 minus straight y subscript 2 right parenthesis right square bracket
equals 1 half left curly bracket 2 left square bracket 0 minus left parenthesis negative 4 right parenthesis right square bracket plus left parenthesis negative 1 right parenthesis left square bracket negative 4 minus 3 right square bracket plus 2 left square bracket 3 minus 0 right square bracket right curly bracket
equals 1 half left parenthesis 8 plus 7 plus 6 right parenthesis
equals 1 half space straight x space 21 equals 21 over 2 space इक ा ई space वर ् ग