Home
Class 10
MATHS
From the given figure, prove that : AP...

From the given figure, prove that :
`AP+BQ+CR=BP+CQ+AR`
Also show that
`AP+BQ+CR=1/2xx"Perimeter of " DeltaABC`.

Promotional Banner

Topper's Solved these Questions

  • TANGENTS AND INTERSECTING CHORDS

    ICSE|Exercise EXERCISE 18 (B)|18 Videos

  • TANGENTS AND INTERSECTING CHORDS

    ICSE|Exercise EXERCISE 18 (C)|42 Videos

  • TANGENTS AND INTERSECTING CHORDS

    ICSE|Exercise EXERCISE 18 (C)|42 Videos

  • SPECIMEN QUESTION PAPER (MATHEMATICS)

    ICSE|Exercise Section C|12 Videos

  • TRIGONOMETRICAL IDENTITIES

    ICSE|Exercise QUESTIONS|22 Videos

Similar Questions

Explore conceptually related problems

In the given figure, AP ||BQ ||CR . Prove that ar(Delta AQC) = ar (DeltaPBR)

In the given figure, AP = 8 cm, BP = 22 cm, AQ = 12 cm and QC = 8 cm Show that DeltaAPQ is similar to DeltaACB .

The given figure shows a Delta ABC in which AB =AC and BP =CQ . Prove that : (i) Delta ABQ ~= Delta ACP . (ii) Delta APQ is isosceles.

In the given figure, AP is parallel to BC, BP is parallel to CQ. Prove that the areas of triangles ABC and BQP are equal.

In the adjoining figure, D is the mid-point of side AB of Delta ABC and P be any point on side BC. If CQ ||PD , then prove that: area of Delta BPQ = (1)/(2) xx " area of " Delta ABC

In the given figure, ABC is an equilibrium triangle, PQ||AC and AC is produced to R such that CR=BP. Prove that QR bisects PC.

In the given figure, DE // BC. Given that AD = 1/2 BD , calculate DE, if BC = 45 cm. Also , find (Ar. (Delta ADE))/(Ar. (DeltaABC)) and (Ar.(DeltaADE))/(Ar.("trapezium BCED"))

In the following figure, BD is parallel to CA, E is mid-point of CA and BD = (1)/(2) CA. Prove that : ar.(DeltaABC)=2xxar.(DeltaDBC)

In the following figure, BD is parallel to CA, E is mid-point of CA and BD = (1)/(2) CA. Prove that : ar.(DeltaABC)=2xxar.(DeltaDBC)

In the given figure, bisectors AP and BQ of the alternate interior angles are parallel, then show that l |""| m .

ICSE-TANGENTS AND INTERSECTING CHORDS-EXERCISE 18(A)
  1. Two concentric circles are of radii 5 cm and 3 cm. Find the length ...

    Text Solution

    |

  2. Three circles touch each other externally. A triangle is formed when t...

    Text Solution

    |

  3. A quadrilateral ABCD is ABCD is drawn to circumscribe a circle. Prove ...

    Text Solution

    |

  4. If the sides of a parallelogram touch a circle prove that the parallel...

    Text Solution

    |

  5. From the given figure, prove that : AP+BQ+CR=BP+CQ+AR Also show tha...

    Text Solution

    |

  6. In the figure if AB=AC then prove that BR=CR

    Text Solution

    |

  7. Radii of two circles are 6.3 cm and 3.6 cm. State the distance between...

    Text Solution

    |

  8. From a point P outside a circle, with centre O, tangents PA and PB are...

    Text Solution

    |

  9. In the given figure, two circles touch each other externally at point ...

    Text Solution

    |

  10. Tangents AP and AQ are drawn to a circle, with centre O, from an exter...

    Text Solution

    |

  11. Two parallel tangents of a circle meet a third tangent at points P and...

    Text Solution

    |

  12. ABC is a right angled triangle with AB=12 cm and AC=13 cm. A circle, w...

    Text Solution

    |

  13. In a triangle ABC, the incircle (centre O) touches BC , CA and AB at p...

    Text Solution

    |

  14. In the following figure PQ and PR are tangents to the circle with the ...

    Text Solution

    |

  15. In the giben figure, AB is the diameter of the circle, with centre O a...

    Text Solution

    |

  16. In quadrilateral ABCD angled D=90^(@), BC=38cm and DC=25cm. A circle i...

    Text Solution

    |

  17. In the given figure, PT touches the circle with centre O at point R. D...

    Text Solution

    |

  18. PT is a tangent to the circle at T. If /ABC=70^(@) and /ACB=50^(@), ...

    Text Solution

    |

  19. In the given figure, O is the centre of the circumcircle of triangleAB...

    Text Solution

    |

  20. In the given PQ is a tangent to the circle at A. AB and AD are bisecto...

    Text Solution

    |