Home
Class 10
MATHS
The length of a line segment is of 10 un...

The length of a line segment is of 10 units and the coordinates of one end-point are `(2,-3)dot` If the abscissa of the other end is 10, find the ordinate of the other end.

Text Solution

Verified by Experts

Given, Point `=(2,−3)`
and let other point `=(10,b)`
by distance formula,
`sqrt((10−2)^2+(b+3)^2)​=10 `
`=>sqrt(8^2+(b^2+9+6b))​=10 `
...
Promotional Banner

Topper's Solved these Questions

  • CONSTRUCTIONS

    RD SHARMA|Exercise All Questions|21 Videos
  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    RD SHARMA|Exercise All Questions|390 Videos

Similar Questions

Explore conceptually related problems

A line segment is of length 5 cm. If the coordinates of its one end are (2,2) and that of the other end are (-1, x), then find the value of x.

The coordinates of one end of a diameter of a circle are (5, -7) . If the coordinates of the centre be (7, 3) find the coordinates of the other end of the diameter.

A line is of length 10 units and one of its ends is (-2, 3) . If the ordinate of the other end is 9, prove that the abscissa of the other end is 6 or -10

If the co-ordinates of one end of a focal chord of a parabola y^(2) =4ax are (at^(2),2at) , find the co-ordinates of its other end.

If the coordinates of one end of a diameter of the circles x^(2)+y^(2)+4x-8y+5=0 is (2,1),, the coordinates of the other end is

The coordinates of ond point of a diameter of a corcle are (4,-1) and the cordinates of the centre of the circle are (1,-3). Find the coordinates of the other end of the diameter.

A line of length 10 units has one end at the point (-3,2). If the ordinate of the other end is 10, show that the abscissa will be 3 or -9.

If the coordinates of one end of a diameter of a circle are (2, 3) and the coordinates of its centre are (-2,5), then the coordinates of the other end of the diameter are

RD SHARMA-COORDINATE GEOMETRY-All Questions
  1. Two vertices of a triangle are (3,-5)a n d(-7,4)dot If its centroid is...

    Text Solution

    |

  2. If A(5,2),B(2,-2)a n dC(-2, t) are the vertices of right angles triang...

    Text Solution

    |

  3. The length of a line segment is of 10 units and the coordinates of one...

    Text Solution

    |

  4. Find the coordinates of the circumcentre of the triangle whose vertice...

    Text Solution

    |

  5. Let the opposite angular points of a square be (3,4)a n d(1,-1) . Find...

    Text Solution

    |

  6. Show that A(6,4),B(5,-2) and C(7,-2) are the vertices of an isosceles...

    Text Solution

    |

  7. Points A(-1, y) and B(5,7) lie on a circle with centre O(2,-3y)dot Fin...

    Text Solution

    |

  8. Show that the points (1,-1),(5,2) and (9 ,5) are collinear.

    Text Solution

    |

  9. Show that four points (0,-1),(6,7),(-2,3)a n d(8,3) are the vertices o...

    Text Solution

    |

  10. If P and Q are two points whose coordinates are (a t^2,2a t)a n d(a/(t...

    Text Solution

    |

  11. If the two vertices of an equilateral triangle be (0,0),(3,sqrt(3)), f...

    Text Solution

    |

  12. The base A B of two equilateral triangles A B C and A B C ' with si...

    Text Solution

    |

  13. On which axis do the following points lie? P(5,\ 0) (ii) Q(0,\ -2) ...

    Text Solution

    |

  14. Find the value of x , if the distance between the points (x ,\ -...

    Text Solution

    |

  15. Find the point on the xaxis which is equidistant from (2,"\ "5)"\ "a n...

    Text Solution

    |

  16. Find a point on the y-axis which is equidistant from the point A(6,...

    Text Solution

    |

  17. Do the points A(3,\ 2),\ \ B(-2,\ -3) and C(2,\ 3) form a triang...

    Text Solution

    |

  18. Prove that the points (-3,\ 0),\ (1,\ -3) and (4,\ 1) are the ve...

    Text Solution

    |

  19. If P(2,\ -1),\ \ Q(3,\ 4),\ \ R(-2,\ 3) and S(-3,\ -2) be four poin...

    Text Solution

    |

  20. Find the co-ordinates of the centre of the circle passing through the ...

    Text Solution

    |