Home
Class 10
MATHS
In the adjoining figure,O is the centre ...

In the adjoining figure,O is the centre of the circle,XY is a diameter.OY-YR,O-Y-R,RZ is a tangent through Z.A tangent through the point Y intersects RZ in Q and XZ in P.Prove that:`triangle PQZ` is an equilateral triangle.

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, point O is the centre of the circle. Line PB is a tangent and line PAC is a secant. Find PA xx PC if OP=25 and radius is 7.

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, O is the centre and seg AB is a diameter. At point C on the circle, the tangent CD is drawn. Line BD is tangent at B. Prove that seg OD||seg AC

In the adjoining figure, line AP is tangent to the circle at A, secant through P intersects chord AY in point X such that AP=PX=XY. IF PQ=1 and QZ=8, then find AX.

In the adjoining figure, seg EF is the diameter of the circle with centre H. Line DF is tangent at point F. If r is the radius of the circle, then prove that DE xxGE=4r^2 .

In the adjoining figure, O is the centre of the circle. Seg AB, seg AC are tangent segments. Radius of the circle is r and l(AB) = r. Prove that , square ABOC is a square.

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, O is the centre of the circle. From point R, seg RM and RN are tangent segments drawn which touch the circle at M, N. If OR=10 cm, radius of the circle=5 cm, then find m /_MRN

In the adjoining figure, O is the centre of the circle. From point R, seg RM and RN are tangent segments drawn which touch the circle at M, N. If OR=10 cm, radius of the circle=5 cm, then find m /_MRO

In the adjoining figure, BC is a diameter of the circle with centre M. PA is a tangent at A from P, which is a point on line BC. AD bot BC prove that DP^(2)=BPxxCP-BDxxCD

CHETANA PUBLICATION-CIRCLE-EXERCISE
  1. square ABCD is a parallelogram.Side BC intersects circle at point P.Pr...

    Text Solution

    |

  2. In the adjoining figure,chord PQ and chord AB intersect at point M.If ...

    Text Solution

    |

  3. Seg AB and seg AD are the chords of the circle. C is a point on tangen...

    Text Solution

    |

  4. Seg AB and seg AD are the chords of the circle. C is a point on tangen...

    Text Solution

    |

  5. Secant AC and secant AE intersects in point A. Points of intersections...

    Text Solution

    |

  6. Line PA is a tangent at point A.Line PBC is a secant AP=15,BP=10,find ...

    Text Solution

    |

  7. square ABCD is a rectangle. Taking AD as a diameter, a semicircle AXD ...

    Text Solution

    |

  8. In the adjoining figure, point O is the centre of the circle. Line PB ...

    Text Solution

    |

  9. Radius of a circle with centre 'O' is 5 cm, OA=4 cm, OB=5.5 cm. Find t...

    Text Solution

    |

  10. Two circles with diameters 6 cm and 9 cm touch each other externally.F...

    Text Solution

    |

  11. Line PA is a tangent at point A.Line PBC is a secant AP=15,BP=10,find ...

    Text Solution

    |

  12. Secants AB and CD are intersecting in point Q. m(arc AD)=25^@ and m(ar...

    Text Solution

    |

  13. Measure of a major arc of a circle is four times the measure of corres...

    Text Solution

    |

  14. Line PA and line PB are tangents to the circle at points A and B. If /...

    Text Solution

    |

  15. Two circles with centres P and Q touch each other at point A./BPA =60^...

    Text Solution

    |

  16. Line PQ is a tangent to the circle at point A, arc AB~=arc AC. Prove t...

    Text Solution

    |

  17. Two circles with centres P and Q touch each other at point A./BPA =60^...

    Text Solution

    |

  18. A circle with centre 'O' is incircle of triangle ABC./ACB=90^@. Radius...

    Text Solution

    |

  19. In the adjoining figure line PA is a tangent to the circle at point A ...

    Text Solution

    |

  20. In the adjoining figure,O is the centre of the circle,XY is a diameter...

    Text Solution

    |