tmua.me papers

tmua.me Medium Set F Paper 2 · Q15

Paper 2Logic & proofGeometry

A triangle has vertices (0,0)(0,0), (6,0)(6,0) and (0,6)(0,6). A straight line ℓ\ell passes through the interior of the triangle.

Consider the statements

  • PP: The line ℓ\ell passes through (2,2)(2,2).
  • QQ: The line ℓ\ell divides the triangle into two regions of equal area.

Which statement correctly describes PP as a condition for QQ?

APP is both necessary and sufficient for QQ
BPP is sufficient but not necessary for QQ
CPP is neither necessary nor sufficient for QQ
DPP is necessary but not sufficient for QQ

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