Home
Class 12
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=0a n dx-y-5=0` at the points `B , Ca n dD` rspectively, if `((15)/(A B))^2+((10)/(A C))^2=(6/(A D))^2` find the equation of the line.

Text Solution

Verified by Experts

The correct Answer is:
`2x+2y+22=0`
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    VMC MODULES ENGLISH|Exercise JEE Advanced Archive (Analytical and Descriptive Questions:)|4 Videos

  • STRAIGHT LINES

    VMC MODULES ENGLISH|Exercise JEE Advanced Archive (Match the column:)|1 Videos

  • STRAIGHT LINES

    VMC MODULES ENGLISH|Exercise JEE Main Archive (State true or false: Q. 16 to 18)|3 Videos

  • SEQUENCE AND SERIES

    VMC MODULES ENGLISH|Exercise JEE MAIN & Advance ( ARCHIVE)|46 Videos

  • THREE DIMENSIONAL GEOMETRY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|34 Videos

Similar Questions

Explore conceptually related problems

A line through A(-5,-4) meets the lines x+3y+2=0,2x+y+4=0a n dx-y-5=0 at the points B , Ca n dD respectively, if ((15)/(A B))^2+((10)/(A C))^2=(6/(A D))^2 find the equation of the line.

Find the angle between the lines x-3y-4=0,4y-z+5=0a n dx+3y-11=0,2y=z+6=0.

Find the angle between the lines x-3y-4=0,4y-z+5=0a n dx+3y-11=0,2y=z+6=0.

Prove that the three lines 5x+3y-7=0, 3x-4y=10, and x+2y=0 meet in a point.

Prove that the three lines 2x-y-5=0, 3x-y-6=0 and 4x-y-7=0 meet in a point.

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

Find the acute angle between the lines 2x-y+3=0\ a n d\ x+y+2=0.

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

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

Find the point of intersection of the lines 2x-3y+8=0 and 4x+5y=6

VMC MODULES ENGLISH-STRAIGHT LINES-JEE Advanced Archive
  1. For points P-=(x1, y1) and Q-=(x2, y2) of the coordinate plane, a new ...

    Text Solution

    |

  2. A rectangle PQRS has its side PQ parallel to the line y= mx and vertic...

    Text Solution

    |

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

    Text Solution

    |

  4. If (alpha,alpha^2) lies inside the triangle formed by the lines 2x+3y-...

    Text Solution

    |

  5. Find the equation of the line passing through the point (2, 3) and ...

    Text Solution

    |

  6. about to only mathematics

    Text Solution

    |

  7. A line cuts the x-axis at A (7, 0) and the y-axis at B(0, - 5) A varia...

    Text Solution

    |

  8. Let A B C be a triangle with A B=A Cdot If D is the midpoint of B C ,E...

    Text Solution

    |

  9. The equations of perpendicular bisectors o the sides AB and AC of a ...

    Text Solution

    |

  10. One diameter of the circle circumscribing the rectangle ABCD is 4y=x+7...

    Text Solution

    |

  11. about to only mathematics

    Text Solution

    |

  12. about to only mathematics

    Text Solution

    |

  13. The vertices of a triangle are [at(1)t(2),a(t(1)+t(2))],[at(2)t(3),a...

    Text Solution

    |

  14. about to only mathematics

    Text Solution

    |

  15. about to only mathematics

    Text Solution

    |

  16. Two vertices of a triangle are (5,-1) and (-2,3) If the orthocentre of...

    Text Solution

    |

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

    Text Solution

    |

  18. For a point P in the plane, let d1(P)a n dd2(P) be the distances of th...

    Text Solution

    |

  19. A ray of light along x+sqrt(3) y = sqrt(3) gets reflected upon reachin...

    Text Solution

    |

  20. Consider three points P-=(-sin(beta-alpha),-cosbeta), Q-=(cos(beta-alp...

    Text Solution

    |