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Using a ruler and a pair of compasses only for all constructions in this question.

  1. Construct triangle ABC in which AB = 6 cm, BC = 7 cm and angle ABC = 75o
  2. Find locus X such that AX = 3 cm
  3. On the same side of BC as A, construct the locus of P such that angle BPC = 120o
  4. Show by shading the locus of Q inside triangle ABC such that angle BPC≥ angle BQC.
  5. On the side of AB opposite C, construct the locus of T such that the area of triangle ATB = 6 cm2 

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