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Two chords AB and CD of a circle intersect at an external point P as shown in figure. If AB = 8 cm, BP = 10 cm, PD = 12 cm. What is length of CP?
  • a)
    15 cm
  • b)
    12 cm
  • c)
    18 cm
  • d)
    10 cm
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Two chords AB and CD of a circle intersect at an external point P as s...
For any external point P,
AP × BP = PD × PC
⇒ (AB + BP) × BP = 12 × PC
⇒ (8 +10) × 10 = 12 × PC
⇒ PC = = 15 cm.
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Two chords AB and CD of a circle intersect at an external point P as shown in figure. If AB = 8 cm, BP = 10 cm, PD = 12 cm. What is length of CP?a)15 cmb)12 cmc)18 cmd)10 cmCorrect answer is option 'A'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Two chords AB and CD of a circle intersect at an external point P as shown in figure. If AB = 8 cm, BP = 10 cm, PD = 12 cm. What is length of CP?a)15 cmb)12 cmc)18 cmd)10 cmCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two chords AB and CD of a circle intersect at an external point P as shown in figure. If AB = 8 cm, BP = 10 cm, PD = 12 cm. What is length of CP?a)15 cmb)12 cmc)18 cmd)10 cmCorrect answer is option 'A'. Can you explain this answer?.
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