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COMEDK2013MathematicsDeterminants

If the area of the triangle with vertices (x, 0) , (1,1) and (0,2) is 4 sq units, then the value of x is

Options

  1. A-2
  2. B-4
  3. C-6
  4. D8

Correct answer

C. -6

Step-by-step solution

We have, 1 2 | array lll x & 0 & 1 1 & 1 & 1 0 & 2 & 1 array |= 4 x(1-2)+1(2-0)= 8 -x+2= 8 =2 8 x=10,-6

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