Home
Class 12
MATHS
If the coordinates of the vertices of tr...

If the coordinates of the vertices of triangle `A B C` are `(-1,6),(-3,-9)` and `(5,-8)` , respectively, then find the equation of the median through `Cdot`

Text Solution

Verified by Experts

The correct Answer is:
13x+14y+47=0

The required equation fo median is
`y+8 = (-(3//2)+8)/(-2-5)(x+5)`
or 13x+14y+47=0
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE|Exercise Exercise 2.2|4 Videos
  • STRAIGHT LINES

    CENGAGE|Exercise Exercise 2.3|7 Videos
  • STRAIGHT LINES

    CENGAGE|Exercise JEE Advanced Previous Year|4 Videos
  • STRAIGHT LINE

    CENGAGE|Exercise Multiple Correct Answers Type|8 Videos
  • THEORY OF EQUATIONS

    CENGAGE|Exercise JEE Advanced Previous Year|9 Videos

Similar Questions

Explore conceptually related problems

If the coordinates of the vertices of triangle ABC are (-1,6),(-3,-9) and (5,-8) respectively,then find the equation of the median through C.

Find the equation of the side BC of the triangle ABC whose vertices A,B,C are (-1,-2),(0,1) and (2,0) respectively.Also find the equation of the median through (-1,-2) .

Find the equation of the side BC of the triangle ABC whose vertices are A(-1,-2),B(0,1) and C(2,0) respectivley.Also,find the equation of the median through A(-1,-2).

find the equations of the sides of the triangle whose vertices are (-1,8),(4,2) and (-5,-3). Also find the equation the median through (-1,-8)

If A(-1, 6), B(-3, -9) and C(5, -8) are the vertices of a triangle ABC , find the equations of its medians.

The vertices of a triangle are A (-2, 1), B (6, -2) and C (4, 3) . Find the equation of the altitudes of the triangle.

CENGAGE-STRAIGHT LINES-Exercise 2.1
  1. Find the equation of the right bisector of the line segment joining th...

    Text Solution

    |

  2. If the coordinates of the points A, B, C and D be (a, b), (a', b'), (...

    Text Solution

    |

  3. If the coordinates of the vertices of triangle A B C are (-1,6),(-3,-9...

    Text Solution

    |

  4. Find the equation of the line perpendicular to the line x/a-y/b=1 and ...

    Text Solution

    |

  5. If the middle points of the sides B C ,C A , and A B of triangle A B C...

    Text Solution

    |

  6. Find the equations of the lines which pass through the origin and are ...

    Text Solution

    |

  7. If (-2,6) is the image of the point (4,2) with respect to line L=0, th...

    Text Solution

    |

  8. Find the area bounded by the curves x+2|y|=1 and x=0 .

    Text Solution

    |

  9. Find the equation of the straight line passing through the intersectio...

    Text Solution

    |

  10. If the foot of the perpendicular from the origin to a straight line is...

    Text Solution

    |

  11. A straight line through the point (2,2) intersects the lines sqrt(3)x+...

    Text Solution

    |

  12. The equation of the straight line passing through the point (4. 3) and...

    Text Solution

    |

  13. A straight line through the point A(3, 4) is such that its intercept ...

    Text Solution

    |

  14. A straight line L is perpendicular to the line 5x-y=1 . The area of th...

    Text Solution

    |

  15. One side of a rectangle lies along the line 4x+7y+5=0. Two of its vert...

    Text Solution

    |

  16. A line L1-=3y-2x-6=0 is rotated about its point of intersection with t...

    Text Solution

    |

  17. The diagonals A C and B D of a rhombus intersect at (5,6)dot If A-=(3,...

    Text Solution

    |

  18. Find the equation of the straight line which passes through the origin...

    Text Solution

    |

  19. A line intersects the straight lines 5x-y-4=0 and 3x-4y-4=0 at A and B...

    Text Solution

    |

  20. In the given figure, PQR is an equilateral triangle and OSPT is a squa...

    Text Solution

    |