Home
Class 10
MATHS
In the adjoining figure, seg AB is a dia...

In the adjoining figure, seg AB is a diameter of a circle with centre O. the bisector of `angleACB` intersects the circle at point D. Prove that ,seg `ADcongseg BD`. Complete the following proof by filling the blanks.

Text Solution

Verified by Experts

The correct Answer is:
`therefore` seg AD`cong` seg BD
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    TARGET PUBLICATION|Exercise Activities for Practice|4 Videos

  • CIRCLE

    TARGET PUBLICATION|Exercise Multiple Choice Question|25 Videos

  • CIRCLE

    TARGET PUBLICATION|Exercise Practice Set 3.5|5 Videos

  • CHALLENGING QUESTIONS

    TARGET PUBLICATION|Exercise Chapter 6: Statistics|4 Videos

  • CO-ORDINATE GEOMETRY

    TARGET PUBLICATION|Exercise CHAPTER ASSESSMENT|19 Videos

Similar Questions

Explore conceptually related problems

In figure, seg AB is a diameter of a circle with centre O. The bisector of /_ACB intersects the circle at point D. Prove that seg AD cong seg BD. Complete the following proof by filling in the blanks

In the adjoining figure, seg RS is a diameter of the circle with centre O. Point T lies in the exterior of the circle. Prove that angleRTS is an acute angle.

In the figure given below,AD is a diameter of a circle with centre O.If AB II CD,prove that AB=CD

In figure, seg RS is a diameter of the circle with centre O. Point T lines in the exterior of the circle. Prove that /_RTS is an acute angle.

In the figure, seg AB is a diameter of a circle with centre C. Line PQ is a tangent, which touches the circle at point T. seg AP bot line PQ and seg BQ bot line PQ. Prove that, seg CP cong seg CQ.

In the adjoining figure , O is the centre of the circle. If angleACB=25^@ , then find angleAOB .

In the figure, seg AB is a diameter of a circle with centre C. Line PQ is a tangent , which touches the circle at point T. seg AP _|_ line PQ and seg BQ _|_ line PQ. Prove that, seg CP ~= seg CQ.

In the above figure, seg AB is a diameter of a circle with centre P.C is any point on the circle. Seg CE _|_ seg AB. Prove that CE is the geometric mean of AE and EB. Write the proof with the help of folloing steps: (a) Draw ray CE. It intersects the circle at D. (b) Show that CE = ED. Write the result using theorem of intersection of chords insides a circle. (d) Using CE = ED, complete the proof.

In the adjoinig figure, AB is a diameter of the circle, CD is a chord equal to the radius of the circle. AC and BD when extended intersect at a point E. Prove that angleAEB=60^@ .

TARGET PUBLICATION-CIRCLE-Problem Set-3
  1. /ACB is inscribed in arc ACB of a circle with centre O . If /ACB= 65^...

    Text Solution

    |

  2. Chords AB and CD of a circle interset inside the circle at point E. ...

    Text Solution

    |

  3. In a cyclic square ABCD, twice the measure of /A is thrice the measu...

    Text Solution

    |

  4. Points A,B,C are on a circle, such that m( arc AB ) = m ( arc BC ) =12...

    Text Solution

    |

  5. Seg XZ is a diameter of a circle. Point Y lies in its interor. How man...

    Text Solution

    |

  6. Line l touches a circle with centre O at point P. If radius of the cir...

    Text Solution

    |

  7. In the figure, M is the centre of the circle and seg KL is a tangent ...

    Text Solution

    |

  8. In the adjoining figure, O is the centre of the circle. Seg AB, seg AC...

    Text Solution

    |

  9. In the figure, square ABCD is a parallalogram. It circumscribes the ci...

    Text Solution

    |

  10. In the figure, circle with centre M touches the circle with centre N a...

    Text Solution

    |

  11. Two circles intersect each other at the points P and Q. Two straight l...

    Text Solution

    |

  12. In the figure, line l touches the circle with centre O at point P. Q i...

    Text Solution

    |

  13. Prove the any three points on a circle cannot be collinear .

    Text Solution

    |

  14. In the figure, (1) m (arc CE ) = 54^(@), m (arc BD ) 23^(@), find ...

    Text Solution

    |

  15. In the adjoining figure ,chord EF || chord GH. Prove that, chord EGcon...

    Text Solution

    |

  16. In the adjoining figure , circles with centres C and D touch internall...

    Text Solution

    |

  17. In the adjoining figure, seg AB is a diameter of a circle with centre ...

    Text Solution

    |

  18. In the figure, seg MN is a chord of a circle with centre O. MN = 15, L...

    Text Solution

    |

  19. In the given figure two circles touch each other at the point C. Prove...

    Text Solution

    |

  20. Two circles intersect each other at the points P and Q. Two straight l...

    Text Solution

    |