Home
Class 12
MATHS
The incentre of the triangle with vertic...

The incentre of the triangle with vertices `(1, sqrt(3)), (0, 0) and (2, 0)` is :

A

`(1, (sqrt(3))/(2))`

B

`((2)/(3), (1)/(sqrt(3)))`

C

`((2)/(3), (sqrt(3))/(2))`

D

`(1, (1)/(sqrt(3)))`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|306 Videos

  • Definite Integrals and its Application

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|453 Videos

Similar Questions

Explore conceptually related problems

The number of points, having both co-ordinates as integers, that lie in the interior of the triangle with vertices (0, 0), (0, 41) and (41, 0), is :

Find the coordinates of centroid of the triangle with vertices: (1, -1), (0, 6) and (-3, 0)

Find the coordinates of centroid of the triangle with vertices: (6, 2), (0, 0) and (4, -7)

Find the circumcentre of the triangle whose vertices are (0,0) (3, sqrt(3)), and ( 0, 2 sqrt(3)) .

Find the area of the triangle vertices are (0, 0), (3, 0) and (0, 2)

If the area of the triangle with vertices (-2, 0), (0, 4) and (0, k) is 4 square units, find the values of k u"sin"g determinants.

The number of integral points (integral points means both the coordinates of the point should be integer) exactly in the interior of the triangle with vertices (0,0),(0,21) and (21,0) is

HIMALAYA PUBLICATION-COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES-QUESTION BANK
  1. If the line through A-=(4, -5) is inclined at an angle 45^(@) with the...

    Text Solution

    |

  2. If the straight line ax+by+c=0 always passes through (1, -2), then a, ...

    Text Solution

    |

  3. The incentre of the triangle with vertices (1, sqrt(3)), (0, 0) and (2...

    Text Solution

    |

  4. Let 0 lt alpha lt pi//4 be a fixed angle. If P=(cos theta, sin theta) ...

    Text Solution

    |

  5. If x(1), x(2), x(3) as well as y(1), y(2), y(3) are in G.P. with the s...

    Text Solution

    |

  6. The number of integral points (integral points means both the coordina...

    Text Solution

    |

  7. Orthocentre of triangle whose vertices are (0, 0), (3, 4), (4, 0) is :

    Text Solution

    |

  8. Let O(0,0), P(3,4), Q(6,0) be the vertices of the triangle O P Q. The ...

    Text Solution

    |

  9. Consider three points P-= (-sin (beta-alpha), -cos beta), Q-= (cos (be...

    Text Solution

    |

  10. A straight line L through the point (3, -2) is inclined at an angle 60...

    Text Solution

    |

  11. The locus of the mid-point of the portion of the line xcos alpha+y sin...

    Text Solution

    |

  12. A line L has intercepts a and b on the coordinate axes, when the axes ...

    Text Solution

    |

  13. A straight line through the point A(3, 4) is such that its intercept b...

    Text Solution

    |

  14. The perpendicular bisector of the line segment joining P(1, 4) and Q(k...

    Text Solution

    |

  15. The line L given by (x)/(5)+(y)/(b)=1 passes through the point (13, 32...

    Text Solution

    |

  16. Angles made with the x -axis by two lines drawn through the point (1,2...

    Text Solution

    |

  17. If a, b, c be in A.P, then a x+b y+c=0 represents

    Text Solution

    |

  18. The circumcentre and the centroid of a triangle are (6,2) and (3,3) th...

    Text Solution

    |

  19. If the sum of the distances of a point from two perpendicular lines in...

    Text Solution

    |

  20. Let p, q, r be distinct positive numbers. Three lines p x+q y+r=0, q x...

    Text Solution

    |