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NDA 2018 Maths · Mathematics · Straight Lines · easy

The lines x+y=10 and x-y=2 meet at a point P. The area of the triangle with vertices O(0,0), A(6,0) and P is

Single correct option

The lines x+y=10x+y=10 and x−y=2x-y=2 meet at a point PP. The area of the triangle with vertices O(0,0)O(0,0), A(6,0)A(6,0) and PP is
  1. A. 2424 square units
  2. B. 1212 square units
  3. C. 1818 square units
  4. D. 3030 square units
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Answer: (B) 1212 square units

Adding the equations gives x=6x=6 and then y=4y=4, so P=(6,4)P=(6,4). The base OA=6OA=6 lies on the xx-axis and the height is 44, so the area is 12⋅6⋅4=12\frac12\cdot6\cdot4=12. The value 24 omits the factor 12\frac12.
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Original question written in the NDA 2018 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