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Euclid Sample Paper 2 · Q9

Paper 2Logic & proofGeometry

In triangle ABCABC, let MM be the midpoint of BCBC. Define

P:∠BAC=90∘,Q:AM=12BC,R:MA=MB=MC.\begin{aligned} P:&\quad \angle BAC=90^\circ,\\ Q:&\quad AM=\frac12BC,\\ R:&\quad MA=MB=MC. \end{aligned}

Which statements are true?

  • I. PP if and only if QQ.
  • II. QQ if and only if RR.
  • III. RR only if PP.
AI only
BII only
CIII only
DI and II only
EI and III only
FII and III only
GI, II and III
HNone of them

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