NDA_Math_2025_Q22

Question:

A(1, 2, -1), B(2, 5, -2) and C(4, 4, -3) are three vertices of a rectangle. What is the area of the rectangle?

A(1, 2, -1), B(2, 5, -2) and C(4, 4, -3) are three vertices of a rectangle. What is the area of the rectangle?

Options:

  • a) 8 square units
  • b) 9 square units
  • c) 66 square units
  • d) 68 square units
  • a) 8 square units
  • b) 9 square units
  • c) 66 square units
  • d) 68 square units

correct answer : c)

Explanation:

Area = AB × BC
= 131 21 122 2 222++ ×+ +
= 11 6×
= 66 sq. units

Area = AB × BC
= 131 21 122 2 222++ ×+ +
= 11 6×
= 66 sq. units

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