Home
Class 10
MATHS
In the adjoining figure, seg YZ and seg ...

In the adjoining figure, seg YZ and seg XT are altitudes of `triangle WXY` which intersect each other at point P. Prove that: Points X, Z, T and Y are concyclic points.

Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    CHETANA PUBLICATION|Exercise EXERCISE|62 Videos

  • BASIC CONCEPTS IN GEOMETRY

    CHETANA PUBLICATION|Exercise EXAMPLE|14 Videos

  • CO-ORDINATE GEOMETRY

    CHETANA PUBLICATION|Exercise EXERCISE|86 Videos

Similar Questions

Explore conceptually related problems

In the adjoining figure, seg YZ and seg XT are altitudes of triangle WXY which intersect each other at point P. Prove that square WZPT is a cyclic quadrilateral.

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 .

In adjoining figure, in DeltaABC , seg AD and seg BE are altitudes and AE = BD. Prove that seg AD = seg BE.

In the adjoining figure, seg AB is a diameter of a circle with centre O. Bisector of inscribed /_ACB intersects circle at point D. prove: seg AD~=seg BD

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. Chord MN and chord RS intersect each other at point P. If PR=6,Ps=4, MN=11, find PN.

In the adjoining figure, bisector of angleBAC intersects BC at point D. Prove that AB gt BD .

In the figure, seg AC and seg BD intersect each other in point P and (AP)/(CP)=(BP)/(DP) . Prove that DeltaABP~DeltaCDP .

In the adjoining figure, two circles intersect each other at point M and N. Secants drawn from point M and N intersect cirlces at point R, S, P and Q as shown in the figure. Prove that seg PR || seg QS

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.

CHETANA PUBLICATION-CIRCLE-EXERCISE
  1. In the adjoining figure, seg YZ and seg XT are altitudes of triangle W...

    Text Solution

    |

  2. Two circles of radii 5.5 cm and 3.3 cm respectively touch each other.W...

    Text Solution

    |

  3. Two circles intersect each other such that each circles pass through t...

    Text Solution

    |

  4. A circle touches all sides of a parallelogram.so the parallelogram mus...

    Text Solution

    |

  5. length of a tangent segment drawn from a point which is at a distance ...

    Text Solution

    |

  6. If two circles are touching externally,how many common tangents of the...

    Text Solution

    |

  7. /ACB is inscribed in arc ACB of a circle with centre O.If /ACB=65^@,fi...

    Text Solution

    |

  8. Chords AB and CD of a circle intersect inside the circle at point E. I...

    Text Solution

    |

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

    Text Solution

    |

  10. Points A,B,C are on circle, such that m(arc AB)=m(arc BC)=120^@. No po...

    Text Solution

    |

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

    Text Solution

    |

  12. /QPR=60^@, then /AOB=…….a)60^@ b)90^@ c)120^@ d)240^@

    Text Solution

    |

  13. Angle between external end point of radius and tangent is…………

    Text Solution

    |

  14. Point P is on the circle. AB is diameter of the circle, /APB is ……………....

    Text Solution

    |

  15. MN is tangent at M and AM is radius.Find AM.

    Text Solution

    |

  16. /ADC=80^@, then /CBE=? a)100^@ b)10^@ c)80^@ d)280^@

    Text Solution

    |

  17. /XYZ=40^@,/AYZ=20^@, line AY is tangent at point Y.:.m(arc XY)=…………a)8...

    Text Solution

    |

  18. AB is tangent at B. AB=12, AP=6, :.PQ=……. a) 12 b) 18 c) 6 d) 20

    Text Solution

    |

  19. Line PT is a tangent at point T. Which of the following is true? a)/AB...

    Text Solution

    |

  20. A circle with centre P.Line AB and line AC are tangents from point A a...

    Text Solution

    |

  21. In adjoining figure,PQ=QR./P=60^@.m(arc PR)=………….

    Text Solution

    |