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📐 Mathematics  ·  Determinants  ·  JEE

The area of the triangle with vertices (1, 2), (3, 4) and (5, 0) is:

Answer: 6.

  • A 4
  • B 6
  • C 8
  • D 12

Correct answer: B. 6

Explanation: Area = (1/2)|1(4 − 0) + 3(0 − 2) + 5(2 − 4)| = (1/2)|4 − 6 − 10| = 6.

Concept context

Evaluation of determinants, cofactors, adjoint, inverse of matrix, Cramer's rule and area applications. Always in board and JEE.

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