(2, 4), (-3, -1) மற்றும் (5, 3) மூலம் ஒரு முக்கோணத்தின் பரப்பளவு:

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RRB ALP Previous Paper 11 (Held On: 17 Aug 2018 Shift 1)
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  1. 7 ச. அலகுகள்
  2. 14 ச. அலகுகள்
  3. 20 ச. அலகுகள்
  4. 10 ச. அலகுகள்

Answer (Detailed Solution Below)

Option 4 : 10 ச. அலகுகள்
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Detailed Solution

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கொடுக்கப்பட்டவை:

(x1 ,y1) = (2, 4),

(x2,y2) = (-3, -1) 

(x3 ,y3)= (5, 3)

பயன்படுத்தப்பட்ட சூத்திரம்:

முக்கோணத்தின் பரப்பளவு = [x1(y2 – y3) + x2(y3 – y1) + x3(y1 – y2)]/2

கணக்கீடு:

முக்கோணத்தின் பரப்பளவு = [x1(y2 – y3) + x2(y3 – y1) + x3(y1 – y2)]/2

சூத்திரத்தில் மதிப்புகளை மாற்றவும்

⇒ [2(-1 – 3) + (-3)(3 – 4) + 5(4 + 1)]/2

⇒ [-8 + 3 + 25]/2 = 10 ச. அலகுகள்

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