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NDA 2024 Maths · Mathematics · Straight Lines · medium

The area of the triangle formed by the lines y=x, y=-x and x=4 is

Single correct option

The area of the triangle formed by the lines y=xy=x, y=−xy=-x and x=4x=4 is
  1. A. 3232 square units
  2. B. 88 square units
  3. C. 1212 square units
  4. D. 1616 square units
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Answer: (D) 1616 square units

The lines meet at (0,0)(0,0), (4,4)(4,4) (from y=xy=x with x=4x=4) and (4,−4)(4,-4) (from y=−xy=-x with x=4x=4). The base along x=4x=4 has length 88 and the perpendicular height from the origin is 44. Area =12×8×4=16=\frac12\times8\times4=16. Trap: 32 omits the factor 12\frac12, and 8 mistakes the base for the height.
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Original question written in the NDA 2024 Maths pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake