Home
Class 11
MATHS
A variable straight line drawn through t...

A variable straight line drawn through the point of intersection of the straight lines `x/a+y/b=1` and `x/b+y/a=1` meets the coordinates axes at A and B. Show that the locus of the mid point of `bar(AB)` is `2(a+b)xy=ab(x+y)`.

A

`xy(a+b)xy`

B

`(a+b)xy=ab(x+y)`

C

`ab(x+y)=2(a=b)xy`

D

`abxy=(a+b)(x+y)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE-I Problems on slopes, Equation of line intercepts of a lines, Areas)(Straight Objective Type Question)|30 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE-I Problems on slopes, Equation of line intercepts of a lines, Areas) (More than one correct answer Type Question)|1 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise EXERCISE -II|92 Videos

  • REVISION EXERCISE

    AAKASH SERIES|Exercise PROPERTIES OF TRIANGLES|57 Videos

  • TANGENT AND NORMAL

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|48 Videos
AAKASH SERIES-STRAIGHT LINES-PRACTICE EXERCISE
  1. The equation of the line passing through the point P(2,-5) such that P...

    Text Solution

    |

  2. The locus of the midpoint of the portion of the line x cos alpha+y sin...

    Text Solution

    |

  3. A variable straight line drawn through the point of intersection of th...

    Text Solution

    |

  4. The area of the triangle formed by the axes and the line cos h alpha- ...

    Text Solution

    |

  5. The area (in square units) of the triangle formed by the lines x=0, y=...

    Text Solution

    |

  6. Equation of straight line which is 10 units from origin and normal ray...

    Text Solution

    |

  7. The perpendicular distance from the origin to a line L is 7 and the li...

    Text Solution

    |

  8. The normal form of line sqrt(3)x=y+4=0 is

    Text Solution

    |

  9. Symmeric form of the line through (1,1) having slope -1 is

    Text Solution

    |

  10. If the line (x-1)/2=(y-2)/3=t intersects the line x+y=8 then t=

    Text Solution

    |

  11. The line segment joinign A(3,0),B(5,2) is rotated about a point A in a...

    Text Solution

    |

  12. The line AB whose equation is x-y=2 cuts the x-axis at A and B is (4,2...

    Text Solution

    |

  13. The distance of the line 3x-y=0 from the point (4,1) measured along a ...

    Text Solution

    |

  14. The distance of the line x+y-8=0 from (4,1) measured along the directi...

    Text Solution

    |

  15. If the lines x+y+mu=0 and lamdax-5y-5=0 are identical then lamda+mu=

    Text Solution

    |

  16. If the lines 2x+2y+3=0 and x+y+1=0 are parallel then the distance betw...

    Text Solution

    |

  17. The ratio in which the line passing through the points (-1,2),(2,-3) d...

    Text Solution

    |

  18. With respect to the line 3x-4y=8, then points (2,3),(-4,5) are

    Text Solution

    |

  19. The equation of the straight line |r to 5x-2y=7 and passing through po...

    Text Solution

    |

  20. If the lines 4x+3y-1=0, x-y+5=0 and kx+5y-3=0 are concurrent, then k =

    Text Solution

    |