Home
Class 12
MATHS
The coordinates of the points A and B ar...

The coordinates of the points A and B are (2,4) and (2,6) respectively . The point P is on that side of AB opposite to the origin . If PAB be an equilateral triangle , find the coordinates of P.

Text Solution

Verified by Experts

The correct Answer is:
`(2+sqrt(3),5)`
Promotional Banner

Topper's Solved these Questions

  • REVISION OF PREVIOUS TWO DIMENSIONAL COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise EXERCISE 1 ( Short Type Questions )|44 Videos

  • REVISION OF PREVIOUS TWO DIMENSIONAL COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise EXERCISE 1 ( Long Type Questions )|26 Videos

  • REVISION OF PREVIOUS TWO DIMENSIONAL COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise EXERCISE 1 (MCQ)|30 Videos

  • RELATIONS

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination (Assertion -Reason Type )|2 Videos

  • SECOND ORDER DERIVATIVE

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination (Assertion-Reason type)|2 Videos

Similar Questions

Explore conceptually related problems

The coordinates of the point A and B are (a,0) and (-a ,0), respectively. If a point P moves so that P A^2-P B^2=2k^2, when k is constant, then find the equation to the locus of the point Pdot

Two points O(0,0) and A(3,sqrt(3)) with another point P form an equilateral triangle. Find the coordinates of Pdot

The coordinates of the points A and B are (3,sqrt(3))and(0,2sqrt(3)) respectively , if ABC be an equilateral triangle find the coordinates of C.

A and B are two fixed points whose co-ordinates are (3,2) and (5,4) respectively. The co-ordinates of a point P if ABP is an equilateral triangle , are :

The coordinates of the points A and B are (3,4) and (5,-2) respectively , if overline(PA)=overline(PB) and the area of the DeltaPAB=10 square unit , find the coordinates of P.

If A and B are (-2, -2) and (2, -4) respectively, find the coordinates of P on AB such that AP = (3)/(7) AB.

The coordinates of A and B are (1,3)and (2,1) respectively and P is a moving point on the straight line x+7y=12.Find the locus of the centroid of the triangle ABP.

If the coordinates of the points A,B,C,D be (1,2,3), (4,5,7), (-4,3,-6) and (2,9,2) respectively, then find the angle between the lines AB and CD.

The coordinates of a moving point p are (2t^(2) + 4, 4t+6) . Then its locus will be a

CHHAYA PUBLICATION-REVISION OF PREVIOUS TWO DIMENSIONAL COORDINATE GEOMETRY -EXERCISE 1 (Very Short Type Questions )
  1. Show that the points (6,6) , (2,3) and (4,7) are the vertices of a rig...

    Text Solution

    |

  2. Prove that the points (7,9) , (3,-7) and (-3,3) form a right angled is...

    Text Solution

    |

  3. The coordinates of the points A and B are (2,4) and (2,6) respectively...

    Text Solution

    |

  4. The centre of a circle is at (5,3) and its radius is 5 . Find the leng...

    Text Solution

    |

  5. If the point (x,y) be equidistant from the points (a+b,b-a) and (a-b,a...

    Text Solution

    |

  6. The base of an isosceles triangle is the line - segment joining the po...

    Text Solution

    |

  7. Find the ratio in which the point (1,2) divides the line -segment join...

    Text Solution

    |

  8. Find the ratio in which the point (-5,-20) divides the line -segment j...

    Text Solution

    |

  9. In what ratio the line - segment joining the points (3,4) and (2,-3) i...

    Text Solution

    |

  10. P is a point on the line - segment overline(AB) such that overline(AP...

    Text Solution

    |

  11. The line -segment overline(CD) is produced to Q such that 2overline(CQ...

    Text Solution

    |

  12. Find the coordinates of the point of trisection of the line - segment ...

    Text Solution

    |

  13. Show that the line -segment joining the points (8,3),(-2,7) and the li...

    Text Solution

    |

  14. Find (x,y) if (3,2) , (6,3) , (x,y) and (6,5) are the vertices of a pa...

    Text Solution

    |

  15. If (x(1),y(1)),(x(2),y(2)),(x(3),y(3))and(x(4),y(4)) be the consecutiv...

    Text Solution

    |

  16. Find the coordinates of the point of intersection of the medians of th...

    Text Solution

    |

  17. The coordinates of the vertices of a triangle are (4,-3) , (-5,2) and...

    Text Solution

    |

  18. The centroid of a triangle is (-1,-2) and coordinates of its two verti...

    Text Solution

    |

  19. The coordinates of the vertices A ,B and C of the triangle ABC are (-...

    Text Solution

    |

  20. For what value of k the points (1,-1) , (2,1) and (k,5) shall be on th...

    Text Solution

    |