Home
Class 14
MATHS
A circle touches the triangle DeltaABC a...

A circle touches the triangle `DeltaABC` at side BC at point P and touches at Q and R if AB and AC are extended. If perimeter of the triangle is 16 cm then find the length from A to Q.

A

6 cm

B

8 cm

C

10 cm

D

12 cm

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DATA INTERPRETATION

    MOTHERS|Exercise MULTIPLE CHOICE QUESTIONS|372 Videos
  • LCM & HCF

    MOTHERS|Exercise MULTIPLE CHOICE QUESTION|200 Videos

Similar Questions

Explore conceptually related problems

A circle touches the side BC of a Delta ABC at P and also touches AB and AC produced at Q and R, respectively. If the perimeter of Delta ABC = 26.4 cm, then the length of AQ is:

A circle touches the side BC of Delta ABC at F and touches AB and AC at D and E, respectively. If AD = 8 cm, then find the perimeter of Delta ABC .

A circle touches the side BC of DeltaABC at P and touches AB and AC produced at Q and R respectively. Prove that AQ=1/2(Perimeter of DeltaABC).

If a circle touches the side BC at point P, extended side AB at Q and extended side AC at R. Then AQ is equal to :

In a triangle ABC, points P, Q and R are the mid-points of the sides AB, BC and CA respectively. If the area of the triangle ABC is 20 sq. units, find the area of the triangle PQR

A circle is touching the side BC of Delta ABC at P and touching AB and AC produced at Q and R respectively Prove that AQ=(1)/(2) (Perimeter of Delta ABC)

A circle touches the side BC of DeltaABC at D and AB and aC are produced to E and F, respectively. If AB=10cm, AC=8.6 cm and BC=6.4 cm then BE=?

In the figure, a circle touches the side DF of triangle EDF at H and touches line ED and EF at points K and M respectively. If EK =9cm , then perimeter of triangle EDF is

MOTHERS-GEOMETRY -MULTIPLE CHOICE QUESTIONS
  1. There is a circle of radius 5 cm. There are two chords AB and AC OF e...

    Text Solution

    |

  2. The radii of two co-centric circles are 13 cm and 8 cm respectively. A...

    Text Solution

    |

  3. A circle touches the triangle DeltaABC at side BC at point P and touch...

    Text Solution

    |

  4. ABCD is a circumquadrilateral at a circle where angleB=90^(@), AD = 23...

    Text Solution

    |

  5. P and Q are the middle points of two chords (not diameters) AB and AC ...

    Text Solution

    |

  6. Two circles with equal radius passes through the centres of each other...

    Text Solution

    |

  7. Two circles with radius 4 cm and 9 cm respectively touch each other ex...

    Text Solution

    |

  8. Two tangents are drawn from a point P on the circle at point A and B. ...

    Text Solution

    |

  9. AB is diameter of a circle with centre 'O'. CD is a chord which is equ...

    Text Solution

    |

  10. P is a point out side a circle, which is 13 cm from the centre. A line...

    Text Solution

    |

  11. The distance between centres of two circle with radius 15 cm and 20 cm...

    Text Solution

    |

  12. Two circles of radius r(1) and r(2) touches externally at point A have...

    Text Solution

    |

  13. Find the equation of a circle whose centre is (2, 3) and radius is 5.

    Text Solution

    |

  14. Two circles with radii 5 cm and 8 cm touch each other externally at a ...

    Text Solution

    |

  15. AB is the diameter of circumscribe DeltaAPB. From the point P there is...

    Text Solution

    |

  16. Two circles intersect each other at point P an Q. If PA and PB are two...

    Text Solution

    |

  17. The centre of the circle which passes through points A, B and C is 'O'...

    Text Solution

    |

  18. A and B are centres of two circles whose radii are 5 cm and 2 cm respe...

    Text Solution

    |

  19. PA and PB are the two tangents drawn on a circle from and external poi...

    Text Solution

    |

  20. AB is the diameter of a circle whose centre is O. DC is a chord of tha...

    Text Solution

    |