Home
Class 11
MATHS
A line through A(-5,-4) meets the lines ...

A line through A(-5,-4) meets the lines x+3y+2=0, 2x+y+4=0 and x-y-5=0 at the points B, C and D respectively. If `(15/(AB))^2+(10/(AC))^2=(6/(AD))^2` find the equation of the line.

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM AND PRINCIPLE OF MATHEMATICAL INDUCTION

    PATHFINDER|Exercise QUESTION BANK|68 Videos

  • CIRCLE

    PATHFINDER|Exercise QUESTION BANK|198 Videos

Similar Questions

Explore conceptually related problems

A line through A(-5-4) meets of lines x+3y+2=0, 2x+y+4 and x-y-5=0 at the point B,C and D respectively. If ((15)/(AB))^(2)+((10)/(AC))^(2)=((6)/(AD))^(2) , find the equation of the line.

A Line through the variable point A(1+k,2k) meets the lines 7x+y-16=0; 5x-y-8=0 and x-5y+8=0 at B,C,D respectively. Prove that AC;AB and AD are in HP.

A straight line through the point A (-2,-3) cuts the line x+3y=9 and x+y+1=0 at B and C respectively. If AB.AC =20 then equation of the possible line is

The point (8,-9) with respect to the lines 2x+3y-4=0 and 6x+9y+8=0 lies on

The straight line 4x+y-1=0 and drawn through A(2,-7) meets the line BC at B . If the equation of BC be 3x-4y+1=0 and overline(AB)=overline(AC) , find the equation of thel line AC.

The line y=(3x)/4 meets the lines x-y+1=0 and 2x-y=5 at A and B respectively. Find Coordinates of P on y=(3x)/4 such that PA*PB=25.

The equations of the perpendicular bisectors of the sides AB and AC of a triangle ABC are x -y+5=0 and x+2y=0 respectively . If the point A is (1,-2) , find the equation of the line BC.

A straight line through the origin 'O' meets the parallel lines 4x +2y= 9 and 2x +y=-6 at points P and Q respectively. Then the point 'O' divides the segment PQ in the ratio : (A) 1:2 (B) 3:2 (C) 2:1 D) 4:3

The equations of the perpendicular bisectors of the sides A Ba n dA C of triangle A B C are x-y+5=0 and x+2y=0 , respectively. If the point A is (1,-2) , then find the equation of the line B Cdot

PATHFINDER-CARTESIAN COORDINATES AND STRAIGHT LINE-QUESTION BANK
  1. If the lines ax+y+1=0, x+by+1=0, x+y+c=0, (a, b, c are distinct and no...

    Text Solution

    |

  2. Prove that all lines represented by the equation (2costheta+3sintheta)...

    Text Solution

    |

  3. A line through A(-5,-4) meets the lines x+3y+2=0, 2x+y+4=0 and x-y-5=0...

    Text Solution

    |

  4. Given n straight line and a fixed point O, a straight line is drawn th...

    Text Solution

    |

  5. Find the condition that two of the three lines represented by ax^3+bx^...

    Text Solution

    |

  6. If the equation ax^2+2hxy+by^2+2gx+2fy+c=0 represents a pair of para...

    Text Solution

    |

  7. If the equation ax^2 + 2hxy + by^2 + 2gx + 2fy + c = 0 represents a pa...

    Text Solution

    |

  8. prove that the product of the perpendiculars drawn from the point (x1,...

    Text Solution

    |

  9. The orthocentre of a triangle whose vertices are (0,0),(sqrt3,0) and (...

    Text Solution

    |

  10. The image of the point (3,8) with respect to the line x+3y=7 is

    Text Solution

    |

  11. The equations of the lines representing the sides of a triangle are 3x...

    Text Solution

    |

  12. The point (4,1) undergoes the following three transformations successi...

    Text Solution

    |

  13. A is (a,0) and B is (-a,0). If P is a point such that anglePAB - angle...

    Text Solution

    |

  14. The points (-a,-b).(0,0),(a,b) and (a^2, ab) are

    Text Solution

    |

  15. The medians AD and BE of a triangle ABC with vertices A(0, b), B(0, 0)...

    Text Solution

    |

  16. The vertices of a rhombus taken in order are (2,-1), (3,4), (-2,3), th...

    Text Solution

    |

  17. The coordinates of the point P on the lines 2x+3y+1=0, such that |PA-P...

    Text Solution

    |

  18. One vertex of the equilateral triangle with centroid at the origin and...

    Text Solution

    |

  19. If t1, t2 and t3 are distinct, the points (t1, 2at1+at1^3), (t2,2at2+a...

    Text Solution

    |

  20. If (-6,-4), (3,5),(-2,1) are the vertices of a parallelogram, then rem...

    Text Solution

    |