Home
Class 11
MATHS
The radius of the circle passing thr...

The radius of the circle passing through the centre of incircle of `DeltaABC` and through the end points of BC is given by

A

`((a)/2)cosA`

B

`((a)/2)sec((A)/2)`

C

`((a)/2)sinA`

D

`asec((A)/2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SETS AND RELATIONS

    PATHFINDER|Exercise QUESTION BANK|56 Videos

  • STATISTICS

    PATHFINDER|Exercise QUESTION BANK|45 Videos

Similar Questions

Explore conceptually related problems

Find the radius of the circle passing through (6,0), (0,8) and origin .

Radius of the circle that passes through the origin and touches the parabola y^2=4a x at the point (a ,2a) is

Two circles with equal radii are intersecting at the points (0, 1) and (0,-1). The tangent at the point (0,1) to one of the circles passes through the centre of the other circle. Then the distance between the centres of these circles is.

In two circles , one circle passes through the centre O of the other circle and they intersect each other at the points A and B . A straight line passing through A intersect the circle passing through O at the point P and the circle with centre at O at the point R . BY joining P , B and R , B prove that PR= PB.

Find the equation of the circle with radius 5 whose centre lies on x-axis and passes through the point (2,3) .

Find the radius of the circle which passes through the origin and the points (a, 0) and (0, b).

AB is a diameter of a circle with centre O , P is any point on the circle, the tangent drawn through the point P intersects the two tangents drawn through the points A and B at the points Q and R respectively. If the radius of the circle be r , then prove that PQ.PR=r^(2) .

Angle of deviation when pass through optical centre

The circle passing through (1, - 2) and touching the axis of x at (3, 0) also passes through the point

Find the equation of the circle with radius 5 whose center lies on the x-axis and passes through the point (2, 3).

PATHFINDER-SOLUTION OF TRIANGLE AND HEIGHT AND DISTANCE-QUESTION BANK
  1. The perimeter of a triangle ABC is 6 times the Arithmetic Mean of the ...

    Text Solution

    |

  2. If in an obtuse angled triangle the obtuse angle is (3pi)/4 and the ot...

    Text Solution

    |

  3. The radius of the circle passing through the centre of incircle of...

    Text Solution

    |

  4. In a DeltaABC, b^2+c^2=1999a^2, then (cotB+cotC)/cotA is equal to

    Text Solution

    |

  5. In a DeltaABC, tanAtanBtanC=9. For such tiangle , if tan^2A+tan^2B+ta...

    Text Solution

    |

  6. If in a DeltaABC, r1r2+r2r3+r3r1 is equal to (where r1,r2,r3 are the...

    Text Solution

    |

  7. In a DeltaABC, 2cosA=sinB/sinCand 2^(tan^2B) is a solution of equlatio...

    Text Solution

    |

  8. The area of the circle and the area of a regular polygon inscribed th...

    Text Solution

    |

  9. If there are only two linear function f and g which map [1.2] on [4,6]...

    Text Solution

    |

  10. If A ,B,C,D are the angle of quadrilateral, then (sumtanA)/(sumcotA)is...

    Text Solution

    |

  11. If Delta be the area of a triangle ABC and length of its two sides are...

    Text Solution

    |

  12. Which of the following pieces of data does not uniquely determine acut...

    Text Solution

    |

  13. In a triangle ABC, (a+b+c)(b+c-a)=kbc if

    Text Solution

    |

  14. If cosA/a=cosB/b=cosC/cand the side a=2, then area of triangle is

    Text Solution

    |

  15. If lambda be the perimeter of the DeltaABC. then bcos^2(c/2)+c cos^2(B...

    Text Solution

    |

  16. If the area of a triangle ABC is given by Delta=a^2-(b-c)^2then tan(A...

    Text Solution

    |

  17. If in a DeltaABC, cosA+2cosB+cosC=2,then a,b,c are in

    Text Solution

    |

  18. If D is the mid point of side BC of a triangle ABCand AD is perpendicu...

    Text Solution

    |

  19. If f,g,h are the internal bisectors of a DeltaABC then 1/fcos(A/2)+1/...

    Text Solution

    |

  20. If a,b,c,d be the sides of a quadrilateral and g(x)=f[f{f(x)}], where ...

    Text Solution

    |