Home
Class 11
MATHS
If C is a point on the line segment join...

If C is a point on the line segment joining A (-3, 4) and B (2, 1) such that AC = 2BC, then the co-ordinates of C are :

A

`(1/3,2)`

B

`(2,1/3)`

C

(2, 7)

D

(7, 2).

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise EXERCISE|478 Videos

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise EXERCISE|291 Videos

  • INFINITE SERIES

    MODERN PUBLICATION|Exercise EXAMPLE|10 Videos

Similar Questions

Explore conceptually related problems

P is a point on the line joining A (4, 3) and B (- 2, 6) such that (AP)/(BP)=2/5 . Find the co-ordinates of P.

P is a point on the line segment joining the points (3, 2, -1) and (6, 2,-2). If x co-ordinates of P is 5, then its y co-ordinate is

Find the ratio in which the line segment joining A (1,- 5) and B (- 4, 5) is divided by the x-axis. Also find the co ordinates of the point of division.

The mid point of the line segment joining (2x,4) and (-2,3y) is (1,2x+1), then value of x and y are:

A point R with x-co-ordinate 4 lies on the line segment joining the points P(2,-3,4) and Q(8,0,10). Find the co-ordinate of the point R.

Find the ratio in which the line segment joining (2,-3) and (5, 6) is divided by xaxis, Also find the co-ordinates of point of intersection.

The line segment joining the points (-3,-4) and (1,-2) is divided by y-axis in the ratio:

The line joining the points A (- 3,- 10) and B (- 2, 6) is divided by the point P such that 5 PB = AB. Find the co-ordinates of P.

The line segment joining the points (1,2) and (-2,1) is divided by the line 3x+4y=7 in the ratio:

The x, co-ordinate of a point on the line joining the points Q (2, 2, 1) and R (5, 1, - 2) is 4. Find its z-co-ordinate

MODERN PUBLICATION-CONIC SECTIONS-EXERCISE
  1. The number of points on the line x + y = 4, which are unit distance ap...

    Text Solution

    |

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

    Text Solution

    |

  3. If C is a point on the line segment joining A (-3, 4) and B (2, 1) suc...

    Text Solution

    |

  4. The point (-4,5) is the vertex of a square and one of its diagonals is...

    Text Solution

    |

  5. The vertices of a family of triangles have integer co-ordinates. If tw...

    Text Solution

    |

  6. A line has slope m and y-intercept 4. The distance between the origin ...

    Text Solution

    |

  7. One side of length 3a of a triangle of area a^2 square units lies on t...

    Text Solution

    |

  8. The distance of the point (1, 2) from the line x+y+5 = 0 measured alon...

    Text Solution

    |

  9. Area of the triangle formed by the lines y=2x, y=3x and y=5 is equal t...

    Text Solution

    |

  10. Triangle ABC has vertices (0, 0) (11, 60) and (91, 0). If the line y= ...

    Text Solution

    |

  11. If the lines y= 3x + 1 and 2y = x + 3 are equally inclined to the line...

    Text Solution

    |

  12. The vertices of a triangle are (3, 0), (3, 3) and (0, 3). Then the coo...

    Text Solution

    |

  13. Area of the equilateral triangle inscribed in circle x^2+y^2 -7x+ 9y+5...

    Text Solution

    |

  14. The equation of one of the diameters of the circle x^2+y^2 - 6x + 2y =...

    Text Solution

    |

  15. If two chords having lengths a^2- 1 and 3 (a + 1), where a is a consta...

    Text Solution

    |

  16. The equation of the parabola having focus (3, 2) and vertex (1, 2), is...

    Text Solution

    |

  17. The sum of the distances of a point (2, -3) from the foci of an ellips...

    Text Solution

    |

  18. The equation of one of the tangents to x^2/3-y^2/2=1 which is parallel...

    Text Solution

    |

  19. If e1 is eccentricity of the ellipse x^2/16+y^2/7=1 and e2 is eccentri...

    Text Solution

    |

  20. A line passes through point (2, 2) and perpendicular to the line 3x + ...

    Text Solution

    |