Home
Class 12
MATHS
Three distinct points A, B and C are giv...

Three distinct points A, B and C are given in the 2–dimensional coordinate plane such that the ratio of the distance of any one of them from the point (1, 0) to the distance from the point (–1, 0) is equal to `1/3`.Then the circumcentre of the triangle ABC is at the point :

A

`(5//2,0)`

B

`(5//3,0)`

C

`(0,0)`

D

`(5//4,0)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|17 Videos

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS )|16 Videos

  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B - ARCHITECTURE (ENTRANCE EXAMINATION PAPERS)|14 Videos

  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPER|17 Videos

Similar Questions

Explore conceptually related problems

Three distinct points A,B and C are given in the 2 dimensional coordinate plane such that the ratio of the distance of any one of them from the point (1,0) to the distance from the point (1,0) is equal to (1)/(3). Then the circumcentre of the triangle ABC is at the point :

Three distinct point A, B and C are given in the 2-dimensional coordinates plane such that the ratio of the distance of any one of them from the point (1, 0) to the distance from the point (-1, 0) is equal to (1)/(3) . Then, the circumcentre of the triangle ABC is at the point

Three distinct points A, B and C are given in the 2-dimensional coordinate plane such that the ratio of the distance of any one of them from the point (1, 0) to the distance from the point (-1, 0) is equal to 1:3. Then the circumcentre of the triangle ABC is at the point (1) (0,0) (2) (5/4,0) (c) (5/2,0) (d) (5/3,0)

If three distinct point A, B, C are given in the 2-dimensional coordinate plane such that the ratio of the distance of each one of them from the point (1, 0) to the distance from (-1, 0) is equal to (1)/(2) , then the circumcentre of the triangle ABC is at the point :

hree distinct points A, B and C are given in the 2 - ditmensional c pla nt the poi ne such that the ratio of the distance of any one of them from (1, 0) to the distance from the point (-1, 0) is equal to circumcentre of the triangle ABC is at the point 3 JEE 2009]

Three distinct points A,B,C are given in the x - y plane such that the ratio of the distance of any one of themfrom the point (-1,0) to the distance from (1,0) is equal to 3. Then the circumcentre of triangle ABC is (0,0)60)(3.0)

MCGROW HILL PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
  1. Consider a family of circles which are passing through the point (-...

    Text Solution

    |

  2. The point diametrically opposite to the point P(1, 0) on the circle x^...

    Text Solution

    |

  3. Three distinct points A, B and C are given in the 2–dimensional coor...

    Text Solution

    |

  4. If P and Q are the points of intersection of the circles x^2+""y^2+...

    Text Solution

    |

  5. If the two circles x^(2) + y^(2) + ax = 0 " and " x^(2) + y^(2) = c^(...

    Text Solution

    |

  6. The equation of the circle passing through the point (1,0) and (0,1) a...

    Text Solution

    |

  7. The two circles x^(2)+y^(2)=ax and x^(2)+y^(2)=c^(2)(c gt 0) touch eac...

    Text Solution

    |

  8. The length of the diameter of the circle which touches the x-axis at t...

    Text Solution

    |

  9. The circle passing through (1, -2) and touching the axis of x at (3...

    Text Solution

    |

  10. If each of the lines 5x + 8y = 13 and 4x - y = 3 contains a diameter o...

    Text Solution

    |

  11. lf a circle C passing through (4,0) touches the circle x^2 + y^2 + 4x-...

    Text Solution

    |

  12. If two vertices of an equilateral triangle are A (-a,0)and B (a,0), a ...

    Text Solution

    |

  13. If the circle x ^(2) +y ^(2) - 6x - 8y + (25 -a ^(2)) =0 touches the a...

    Text Solution

    |

  14. Statement I : The only circle having radius sqrt(10) and a diameter al...

    Text Solution

    |

  15. If a circle of unit radius is divided into two parts by an arc of anot...

    Text Solution

    |

  16. 1) 1/5 2) 10 3) 10v2 4) 5v2 Let C be the circle with centre at (1,1) a...

    Text Solution

    |

  17. The circle x^2+y^2-6x-10 y+k=0 does not touch or intersect the coordin...

    Text Solution

    |

  18. The set of all real values of lambda for which exactly two common tang...

    Text Solution

    |

  19. For the two circles x^2+y^2=16 and x^2+y^2-2y=0 there are

    Text Solution

    |

  20. The equation of the circle described on the chord 3x + y + 5 =0 of the...

    Text Solution

    |