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Hi
          
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OM = ON (Equal chords are always equidistant from the centre)
          OE = OE (Common)
          ∠OME = ∠ONE (perpendiculars)
          So, ΔOEM ≅ ΔOEN (by RHS similarity criterion)
          Hence, ∠MEO = ∠NEO (by CPCT rule)
          ∴ ∠BEQ = ∠CEQ
          

6) The angle subtended by the diameter of a semi-circle is:
          a. 90
          b. 45
          c. 180
          d. 60
          Answer: c
          

4) If chords AB and CD of congruent circles subtend equal angles at their centres, then:
          a. AB = CD
          b. AB > CD
          c. AB < AD
          d . None of the above
          Answer: a