imo class 12 determinants

Find the equation of the line joining (1, 2) and (3, 6) using determinants.

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Find the equation of the line joining (1, 2) and (3, 6) using determinants.

  • A. y = 3x
  • B. y = 2x
  • C. x = 2y
  • D. x + y = 3

Answer: B) y = 2x

Explanation: Area of triangle formed by (x,y), (1,2), and (3,6) is 0. ½ |x(2−6) − y(1−3) + 1(6−6)| = 0. −4x + 2y = 0 => y = 2x.

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