Home
Class 12
MATHS
The points P,Q,R are collinear , if the ...

The points P,Q,R are collinear , if the coordinates of P and Q be (3,4) and (7,7) respectively and `overline(PR)=10` unit , find the coordinates of R.

Text Solution

Verified by Experts

The correct Answer is:
(11,10) or (-5,-2)
Promotional Banner

Topper's Solved these Questions

  • REVISION OF PREVIOUS TWO DIMENSIONAL COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams A (Multiple Correct Answer Type)|5 Videos

  • REVISION OF PREVIOUS TWO DIMENSIONAL COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams B (Integer Answer Type)|5 Videos

  • REVISION OF PREVIOUS TWO DIMENSIONAL COORDINATE GEOMETRY

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

P is a point on the line - segment overline(AB) such that overline(AP)=overline(3PB) , if the coordinates of A and B are (3,-4) and (-5,2) respectively , find the coordinates of P.

The line -segment overline(CD) is produced to Q such that 2overline(CQ)=5overline(DQ) , if the coordinates of C and D are (4,7) and (-2,4) respectively , find the coordinates of Q.

P is a point on the line segment bar(AB) such that AP = PB. If the coordinates of A and B are (3, -4) and (-5, 2) respectively find the coordinates of P.

The centroid of a triangle ABC is at the point (1,1,1) if the coordinates of A and B are (3,-5,7) and (-1,7,-6) respectively find the coordinates of the point C

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.

The coordinates of the vertex A of the triangle ABC are (7,-4) . If the coordinates of the centroid of the triangle be (1,2) , find the coordinates of the mid - point of the side overline(BC) .

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

If "^10 P_r=5040 , find the value of r .

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.

The coordinates of the vertex A of the triangle ABC are ( - 3 , -4, -2) , if the coordinates of its centroid are ( 1 , - 2 , 2) , then find the coordinates of the mid - point of the side overline(BC)

CHHAYA PUBLICATION-REVISION OF PREVIOUS TWO DIMENSIONAL COORDINATE GEOMETRY -EXERCISE 1 ( Long Type Questions )
  1. A(-1,5),B(3,1)and C(5,7) are the vertices of the DeltaABC. If D ,E and...

    Text Solution

    |

  2. The coordinates of A , B , C are (6,3), (-3,5) and (4,-2) respectively...

    Text Solution

    |

  3. The points P,Q,R are collinear , if the coordinates of P and Q be (3,4...

    Text Solution

    |

  4. The coordinates of the points A,B,C D are respectively (6,3) , (-3,5) ...

    Text Solution

    |

  5. The coordinates of the points A,B,C and D are (-2,3), (8,9), (0,4) and...

    Text Solution

    |

  6. The coordinates of the points A and B are (3,4) and (5,-2) respective...

    Text Solution

    |

  7. The area of a quadrilateral is 28 square unit. If the coordinates of i...

    Text Solution

    |

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

    Text Solution

    |

  9. Shift the origin to a suitable point so that the equation 2x^(2)-4x+3y...

    Text Solution

    |

  10. Find the point to which the origin should be shifted so that the equat...

    Text Solution

    |

  11. Show that the distance between two points remains unaltered by the tra...

    Text Solution

    |

  12. Reduce the equation x+y+5=0 andx-2y+2=0 to the form ax+by =0 by prope...

    Text Solution

    |

  13. Choose a new origin (h,k) (retaining the directions of axes) so that t...

    Text Solution

    |

  14. Find the distance between the point (1+sqrt2,1-sqrt2) and (0,0)

    Text Solution

    |

  15. Show that the straight line joining the mid - points of two sides of a...

    Text Solution

    |

  16. Show that the straight lines joining the mid - points of the opposite ...

    Text Solution

    |

  17. Prove analytically that the area of a triangle is four times that of t...

    Text Solution

    |

  18. Using analytical method prove that the mid - point of the hypotenuse o...

    Text Solution

    |

  19. If two medians of a triangle are equal , prove analytically that the t...

    Text Solution

    |

  20. Using coordinate geometry prove that an isosceles traigle has two equa...

    Text Solution

    |