Home
Class 10
MATHS
If chords AB and CD of a circle intersec...

If chords AB and CD of a circle intersect each other at a point inside the circle, prove that : `PA xx PB = PC xx PD` .

Promotional Banner

Topper's Solved these Questions

  • MIXED PRACTICE

    ICSE|Exercise SET B|52 Videos
  • MEASURES OF CENTRAL TENDENCY (MEAN, MEDIAN, QUARTILES AND MODE)

    ICSE|Exercise EXERCISE 24 (E)|23 Videos
  • PROBABILITY

    ICSE|Exercise EXERCISE 25(C)|106 Videos

Similar Questions

Explore conceptually related problems

Two equal chord AB and CD of a circle with centre O, intersect each other at point P inside the circle. Prove that: BP = DP

In Figure two chords AB and CD of a circle intersect each other at the point P (when produced) outside the circle. Prove that (i) DeltaP A C~ DeltaP D B (ii) P A * P B = P C * P D

In the adjoining figure. If two equal chords AB and CD of a circle intersect each other at E. then prove that chords AC and DB are equal.

The equal chords AB and CD of circle with centre O, when produced, meet at P outside the circle. Prove that : PA = PC.

The equal chords AB and CD of circle with centre O, when produced, meet at P outside the circle. Prove that : PB = PD

In the adjoining figure, if chords AB and CD of the circle intesect each other at right angles, then find the value of x+y .

Two chords AB and CD of a circle are each at distances 4 cm from the centre. Then,

In a trapezium ABCD, side AB is parallel to side DC, and the diagonals AC and BD intersect each other at point P. Prove that : PA xx PD = PB xx PC .

Chords AB and CD of a circle with centre O, intersect at a point E. If OE bisects angle AED, prove that chord AB = chord CD.

Chords AB and CD of a circle are parallel to each other and lie on opposite sides of the centre of the circle. If AB = 36 cm, CD = 48 cm and the distance between the chords is 42 cm, find the radius of the circle.

ICSE-MIXED PRACTICE -SET B
  1. If chords AB and CD of a circle intersect each other at a point inside...

    Text Solution

    |

  2. A dealer sells goods/services, worth Rs 30,000 to some other dealer in...

    Text Solution

    |

  3. The monthly instalment of a recurring deposit account is Rs 2,400. If ...

    Text Solution

    |

  4. The maturity value of a recurring deposit account is Rs 42,400. If the...

    Text Solution

    |

  5. A man invests equal amounts of money in two companies A and B. Company...

    Text Solution

    |

  6. A sum of Rs54,000 is invested partly in shares paying 6% dividend at 4...

    Text Solution

    |

  7. Solve and graph the solution set of : 2x - 9 lt 7 and 3x + 9 le 25, ...

    Text Solution

    |

  8. Solve : 3x - 2 gt 19 " or " 3 - 2x ge 7 , x in R

    Text Solution

    |

  9. Use formula to solve the quadratic equation : x^2 + x - (a + 1) (a + 2...

    Text Solution

    |

  10. By selling an article for Rs96, a man gains as much percent as its cos...

    Text Solution

    |

  11. A trader bought a number of articles for Rs900, five were damaged and ...

    Text Solution

    |

  12. 1077 boxes of oranges were loaded in three trucks. While unloading the...

    Text Solution

    |

  13. If a neb and a : b is the duplicate ratio of (a + c) and (b + c). sho...

    Text Solution

    |

  14. If 16((a-x)/(a+x))^3=((a+x)/(a-x)) , show that : a = 3x .

    Text Solution

    |

  15. Solve for x , using the properties of proportionality (1+x+x^2)/(1-x+x...

    Text Solution

    |

  16. Show that 2x + 7 is a factor of 2x^3 + 7x^2 - 4x - 14 Hence, solve the...

    Text Solution

    |

  17. What number should be subtracted from 2x^3 - 5x^2 + 5x + 8 so that th...

    Text Solution

    |

  18. The expression 4x^(3)-bx^(2)+x-c leaves remainders 0 and 30 when divid...

    Text Solution

    |

  19. If for two matrices M and N, N =[(3,2),(2,-1)] and product MxxN = [-1...

    Text Solution

    |

  20. If the sum of first 20 terms of an A.P. is same as the sum of its firs...

    Text Solution

    |

  21. If a, b, c are in A.P., show that: (b + c), (c + a) and (a + b) are al...

    Text Solution

    |