Home
Class 10
MATHS
A circle with centre 'O' is incircle of ...

A circle with centre 'O' is incircle of `triangle ABC`.`/_ACB=90^@`. Radius of the circle is r. Prove that: `2r=a+b-c`.

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 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 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 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 .

A circle passes through 3 vertices of a triangle. What is the centre of the circle called?

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, 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 given figure , O is the centre of the circle. AB and AC are tangents to the circle such that BA bot CA. Prove that square BACO is a square.

In the adjoining figure, the circle is the incircle of isosceles DeltaABC , where seg AB = seg AC. Prove that M bisects BC.

In triangle ABC,/_B=90^@,/_C=30^@ ,AB=6 cm then AC=…………

In the figure, point A is the centre of the circle and its tangent CD touches the circle at point B, The radius of the circle is 4cm .If mangleBAC=30^@ , then find AC

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

    |