(2, 4), (-3, -1) এবং (5, 3) শীর্ষবিন্দু যুক্ত একটি ত্রিভুজের ক্ষেত্রফল কত হবে ?

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

Answer (Detailed Solution Below)

Option 4 : 10 বর্গ একক
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Detailed Solution

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প্রদত্ত:

(x 1, y 1 ) = (2, 4),

(x 2, y 2 ) = (-3, -1)

(x 3, y 3 ) = (5, 3)

অনুসৃত সূত্র :

ত্রিভুজের ক্ষেত্রফল = [x 1 (y 2 - y 3 ) + x 2 (y 3 - y 1 ) + x 3 (y 1 - y 2 )] / 2

গণনা:

ত্রিভুজের ক্ষেত্রফল = [x 1 (y 2 - y 3 ) + x 2 (y 3 - y 1 ) + x 3 (y 1 - y 2 )] / 2

সূত্রে মানগুলি প্রতিস্থাপন করুন

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

⇒ [-8 + 3 + 25] / 2 = 10 বর্গ একক

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