Home
Class 10
MATHS
In the adjoining figure, a rectangle PQR...

In the adjoining figure, a rectangle PQRS is inscribed in
a circle with centre T. Prove that ,
(i) arc PQ `cong`arc SR
(ii) arc SPQ`cong` arc PQR

Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    TARGET PUBLICATION|Exercise Chapter Assessment|14 Videos
  • CIRCLE

    TARGET PUBLICATION|Exercise Multiple Choice Question|27 Videos
  • CHALLENGING QUESTIONS

    TARGET PUBLICATION|Exercise CHAPTER-1 :Linear Equations in Two Variable|1 Videos
  • CO-ORDINATE GEOMETRY

    TARGET PUBLICATION|Exercise CHAPTER ASSESSMENT|15 Videos

Similar Questions

Explore conceptually related problems

In the adjoining figure, triangle QRS is an equilateral triangle. Prove that arc RS~=arc QS~=arc QR

In the adjoining figure, triangle QRS is an equilateral triangle. Prove m(arc QRS)=240^@

In the adjoining figure, G,D,E,F are concyclic points of a circle with centre C. /_ECF=70^@ , m(arc DGF)=200^@ find (i)m arc DE.

In the adjoining figure, G,D,E,F are concyclic points of a circle with centre C. /_ECF=70^@ , m(arc DGF)=200^@ find m(arc DEF).

In the adjoining figure, square PQRS is a rectangle. PQ = 14 cm, QR = 21 cm, find the areas of the parts

In the adjoining figure, seg RS is the diameter of the circle with centre 'O'. Point T is in the exterior of the circle. Prove that /_RTS is an acute angle.

In the adjoining figure, AB~=CD . Prove that arc AC ~=arc BD

/_ACB is inscribed in arc ACB of a circle with centre O.If /_ACB=65^@ ,find m(arc ACB)

In the adjoining 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, a circle with centre 'O', arc PQ=arc QR=arc PR. Find measure of each arc.

TARGET PUBLICATION-CIRCLE-Additional Problems for Practice
  1. In the adjoining figure, points A, B,C and D are on the circle. The ...

    Text Solution

    |

  2. In the adjoining figure, P is the circumcentre of the DeltaABC.mangle...

    Text Solution

    |

  3. In the adjoining figure, a rectangle PQRS is inscribed in a circle w...

    Text Solution

    |

  4. In the adjoining figure, chord LMcong chord LN, angleL=35^@ find: (...

    Text Solution

    |

  5. In the adjoining figure, A,B and C are three points on a circle with...

    Text Solution

    |

  6. In the adjoining figure, O is the centre, seg PQ is diameter, line AQ...

    Text Solution

    |

  7. As shown in the adjoining figure, two chords AB and CD of the same c...

    Text Solution

    |

  8. In the adjoining figure, m (arc XAZ)=m(arc YBW). Prove that : XY||ZW

    Text Solution

    |

  9. In a cyclic quadrilateral ABCD, angleB=(5x+40)^@ and angleD=(8x+23)^@...

    Text Solution

    |

  10. The quadrilateral formed by angle bisectors of a cyclic quadrilateral ...

    Text Solution

    |

  11. Prove that in a cyclic trapezium, angles at the base are congruent.

    Text Solution

    |

  12. In the figure , if m ( arc DXE = 100^(@) and m (arc AYC ) = 40^(@),...

    Text Solution

    |

  13. In the given figure PA=6, PB=4 and PC=8. Find PD.

    Text Solution

    |

  14. In the adjoining figure. Chord MN and chord RS intersect each other a...

    Text Solution

    |

  15. In the adjoining figure , chords HI and KJ intersect at point L. If K...

    Text Solution

    |

  16. In the adjoining figure, chords CB and ED intersect each other in poi...

    Text Solution

    |

  17. In the adjoining figure ,seg PS is a tangent segment. Line PR is a se...

    Text Solution

    |

  18. In the given figure, a tangent segment PA touching a circle in A and ...

    Text Solution

    |

  19. In the following figure , ray PA is the tangent to the circle at poin...

    Text Solution

    |

  20. In the adjoining figure, line AP is tangent to the circle at A, secan...

    Text Solution

    |