ज्याचे शिरोबिंदू निर्देशांक (1, 2), (-4, -3) आणि (4, 1) द्वारे दिले आहेत. अशा  त्रिकोणाचे क्षेत्रफळ किती?

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RRC Group D Previous Paper 1 (Held On: 17 Sep 2018 Shift 1)
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  1. 7 चौ. एकक
  2. 20 चौ. एकक
  3. 10 चौ. एकक
  4. 14 चौ. एकक

Answer (Detailed Solution Below)

Option 3 : 10 चौ. एकक
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वापरलेले सूत्र:

ज्याचे शिरोबिंदू (x1, y1), (x2, y2) and (x3, y3) आहेत, त्या त्रिकोणाचे क्षेत्रफळ =  ½ [x(y- y3) + x(y- y1) + x(y- y2)] 

गणना :

⇒ त्रिकोणाचे क्षेत्रफळ  = (1/2) × [1(-3 – 1) + (-4) (1 – 2) + 4{2 – (-3)}] = (1/2) × {(-4) + 4 + 20} = 20/2 = 10 चौ. एकक

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