Area of the triangle having the coordinates (4, 2), (-1, 2) and (3, a) is 10 sq. units. Find the value of 'a'.

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Airforce Group X MBT 18-Jul-2021 Shift 3
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  1. -2 or 6
  2. 6
  3. - 2
  4. 8

Answer (Detailed Solution Below)

Option 1 : -2 or 6
Free
Electric charges and coulomb's law (Basic)
10 Qs. 10 Marks 10 Mins

Detailed Solution

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Concept:

Area of a triangle with points (x1, y1), (x2, y2) and (x3, y3) = 

Calculation

Given area of triangle = 10 sq. units

⇒  = 10

R1 = R1 - R2

⇒  = 20

⇒ |5 (2 - a) - 0 + 0| = 20

⇒ |2 - a| = 4 

⇒ a = -2 or 6

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