Home
Class 10
MATHS
In the given figure, if AP= PB, then...

In the given figure, if AP= PB, then

A

AC=AB

B

AC=BC

C

AB=BC

D

AQ=QC

Text Solution

Verified by Experts

The correct Answer is:
B

Let AP=PB=x
as AQ=AP and BR=BP
`" ""………"(" Tangent segment theorem ")`
`:.AQ=x " and " BR=x`
Let CR=CQ=y
`:.AC=x+y " and " BC=x+y`
`:.` AC=BC.
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise PRACTICE SET 3.1|9 Videos

  • CIRCLE

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise PRACTICE SET 3.2|8 Videos

  • CIRCLE

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise ASSIGNMENT 4.5|8 Videos

  • CHALLENGING QUESTIONS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise SECTION 3 (MODEL QUESTION PAPER FOR PRACTICE ) Solve any one of the following subquestions :|1 Videos

  • COORDINATE GEOMETRY

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Assignment 6.5|13 Videos

Similar Questions

Explore conceptually related problems

In the given figure,if O is the centre of the circle and PB=PC. If PQ is a straight line, then the value of x is

In the given figure, AP = 2 cm, BP = 6 cm and CP = 3 cm. Find DP :

In the given Figure, AP = 3 cm, PB = 5 cm, AQ = 2 cm and QC = x. What is the value of x? 6 cm 8 cm 10 cm 12 cm

In the given figure if AP=10cm. Find BP . Given OA=6cm and OB=3cm.

In the given figure, AP= 3 cm, AR= 6 cm and RS = 9 cm, then what is the value (in cm) of PQ?

In the given figure, AP_|_QR, PR gt PQ and PQ=PS . Show that ARgt AQ .

NAVNEET PUBLICATION - MAHARASHTRA BOARD-CIRCLE-EXAMPLES FOR PRACTICE
  1. In the figure, sides of triangle ABC are tangents to the circle touchi...

    Text Solution

    |

  2. AP is tangent to the circle with centre O at point A. OP =10 cm and /...

    Text Solution

    |

  3. In the given figure, if AP= PB, then

    Text Solution

    |

  4. In the figure, a circle touches the side DF of triangle EDF at H and t...

    Text Solution

    |

  5. The side AB, BC and CA of triangle ABC touch a circle at P,Q and R res...

    Text Solution

    |

  6. In the figure, if /ABC = 60^(@) , then /AOC =

    Text Solution

    |

  7. In the figure, chords AD and BC intersect each other at right angles a...

    Text Solution

    |

  8. PQRS is a cyclic uadrilateral such that PR is the diameter of the circ...

    Text Solution

    |

  9. In the figure, O is the centre of the circle such that /AOC-140^(@), ...

    Text Solution

    |

  10. If P,Q,R are three points which lie on the circle with centre O such t...

    Text Solution

    |

  11. In the figure, chords PQ and RS intersect at T as shown. If /PSR=42^(@...

    Text Solution

    |

  12. In the figure, square PQRS is cyclic, /SPQ=7x^(@) and /SRQ=11x^(@), t...

    Text Solution

    |

  13. In the figure, /QPR has its vertex outside the circle such that m(arc ...

    Text Solution

    |

  14. In the figure, chord AB and chord CD intersect at point M inside the c...

    Text Solution

    |

  15. In the figure, ray PT touches the circle at point T and line PAB is se...

    Text Solution

    |

  16. Find the length of tangent segment drawn to a circle with radius 5 cm ...

    Text Solution

    |

  17. In the figure, line RS is tangent at point Q. If /PQS=65^(@) find m(ar...

    Text Solution

    |

  18. In the figure, line TA is tangent at point T, /PAT=30^(@) and PA=7.8...

    Text Solution

    |

  19. Two circles of radius 5 cm and 4 cm touch each other. Find the distanc...

    Text Solution

    |

  20. In the figure, two concentric circles are given and line AB is tangent...

    Text Solution

    |