If PA and PB are tangents to the circle
at A and B respectively and the chord BC
is parallel to the tangent PA , If AC is 6
cm and the length of the tangent AP is 9
cm. Then what is the length of the chord
BC?
a) 4 b)5
c) 6 d)87.

• PA = PB = 9 cm ( Length of tangents from an external point)
  
  Angle PAB = Angle ABC ( alternate angles PA !! BC)
  
  AC = AB = 6 cm
  
  Triangles PAB and ACB are Isoscelles and sre similar triangles
  
  ( They are equiangular)
  
  Taking the ratios of respective sides
  
  BC/AB = AC/PB
  
  BC/6 = 6/9
  
  BC = 4 cm
• 9 years agoHelpfull: Yes(5) No(3)
• ans is 6 because AP || BC which is gvn and AB intersects these two lines so ang PAB = ABC .similarly ang PBA= ang CAB .and in APB triangle AP =BP so in ACB tringle ang A and ang B are same so BC=AC. so its 6
• 9 years agoHelpfull: Yes(5) No(0)
• @sandeep kumar.. how AC=AB?
• 9 years agoHelpfull: Yes(3) No(0)
• c) 6 probably
• 9 years agoHelpfull: Yes(1) No(0)
• c) 6
  AP=BP so 9cm thus AB =6 cm which makes BC =6cm
• 9 years agoHelpfull: Yes(0) No(0)
• c is correct
  
• 9 years agoHelpfull: Yes(0) No(0)