Home
Class 12
MATHS
The x -coordinate of the incentre of the...

The x -coordinate of the incentre of the triangle that has the coordinates of mid-points its sides are (0,1), (1,1) and (1, 0) is

A

`2+sqrt2`

B

`2-sqrt2`

C

`1+sqrt2`

D

`1-sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    ML KHANNA|Exercise Problem Set (5)(FILL IN THE BLANKS)|3 Videos
  • PROGRESSIONS

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (ASSERTION/REASON) |1 Videos
  • RECTANGULAR CARTESIAN CO-ORDINATE SYSTEM AND THE STRAIGHT LINE

    ML KHANNA|Exercise COMPREHENSION |11 Videos

Similar Questions

Explore conceptually related problems

The x-coordinate of the incentre of the triangle that has the coordinates of mid points of its sides as (0, 1), (1, 1) and (1, 0) is (1) 2-sqrt(2) (2) 1+sqrt(2) (3) 1-sqrt(2) (4) 2+sqrt(2)

The x-coordiante of the incentre of the triangle that has the coordiantes of mid points of its sides as (0,1),(1,1) and (1,0) is:

The coordinates of the orthocenter of the triangle that has the coordinates of midpoint of its sides as ( 0,0) , ( 1,2) and ( - 6,3) is

Find the area of a triangle ABC if the coordinates of the middle points of the sides of the triangle are (-1, -2), (6, 1) and (3, 5)

Find the centroid of the triangle mid points of whose sides are (1,2,-3),(3,0,1)and (-1,1,4)

If the coordinates of the mid-points of the sides of a triangle are (1,1),(2,-3) and (3,4). Find its centroid.

Write the coordinates of the incentre of the triangle having its vertices at (0,0),(5,0) and (0,12).

The coordinates of incentre of a triangle with A(0,3) and B(4,0) and origin as vertices are

Find the coordinates of the circumcentre of the triangle whose vertices are (3, 0), (-1, -6) and (4, -1) . Also, find its circumradius.

ML KHANNA-PROPERTIES OF TRIANGLES -Self Assessment Test (Multiple Choise Questions)
  1. In Delta ABC if a= 16 , b= 24 and c = 20 then cos (B/2)

    Text Solution

    |

  2. In Delta ABC, cscA (sin B cos C + cos B sin C) =

    Text Solution

    |

  3. If in a triangles a cos^(2)(C/2)+c cos^(2)(A/2)=(3b)/2, then the sides...

    Text Solution

    |

  4. In triangleABC, If the anlges are in A.P., and b:c=sqrt(3):sqrt(2), t...

    Text Solution

    |

  5. If the angles of a triangle are in the ratio 2 : 3 : 7 ,then the sides...

    Text Solution

    |

  6. If in a right angled triangle the hypotenuse is four times as long as ...

    Text Solution

    |

  7. If the lengths of the sides of a triangle are 3, 5, 7, then its larges...

    Text Solution

    |

  8. In a triangle ABC, right angled at C, find the value of tan A + tan B ...

    Text Solution

    |

  9. The smallest angle of the DeltaABC, when a=7,b=4sqrt(3)andc=sqrt(13) i...

    Text Solution

    |

  10. If in a DeltaABC, cos B = (sin A)/(2 sin C), then the triangle is

    Text Solution

    |

  11. Find the value of tan A, if area of Delta ABC is a^(2) -(b-c)^(2).

    Text Solution

    |

  12. If c^(2)=a^(2) +b^(2), then 4s(s-a)(s-b)(s-c) is equal to

    Text Solution

    |

  13. In a triangle PQR, angleR = pi //2. If tan (P/2) and tan (Q/2) are th...

    Text Solution

    |

  14. If in a Delta PQR, sin P, sin Q , sin R are in AP, then:

    Text Solution

    |

  15. In DeltaABC if (sinA)/(sinC)=(sin(A-B))/(sin(B-C)), then a^(2), b^(2)...

    Text Solution

    |

  16. Let PQR be a triangle of ! area with a = 2 , b = 7/2 and c = 5/2, wher...

    Text Solution

    |

  17. If R is the radius of the circumcircle of the Delta ABC and Delta is ...

    Text Solution

    |

  18. In a triangle ABC if b=2,B=30^@ then the area of the circumcircle of ...

    Text Solution

    |

  19. For a regular polygon let r and R be radii of the inscribed and the ci...

    Text Solution

    |

  20. The x -coordinate of the incentre of the triangle that has the coordin...

    Text Solution

    |