Engineering Board Exam Reviewer · Area of Polygons by Coordinates · hard

ECE Board April 1999: Two vertices of a triangle are (2,4) and (-2,3) and the area is 2 square units. The locus of the third vertex is

  1. 4x-y=14
  2. 4x+4y=14
  3. x+4y=12
  4. x-4y=-14

Answer

D. x-4y=-14

Solution

Using the area formula with vertices (2,4), (-2,3), and (x,y), and setting the area equal to 2 square units gives the locus x - 4y = -14.

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