Home
Class 12
MATHS
A variable line drawn throgh the point o...

A variable line drawn throgh the point of intersection of the lines `x/a+y/b=1,x/b+y/a=1` meets the coordinate axes in A and B. Then the locus of midpoint of AB is

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET-1)|10 Videos
  • STRAIGHT LINES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET-2)|7 Videos
  • STRAIGHT LINES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A|119 Videos
  • SETS ( APPENDIX - 1)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE|70 Videos
  • SYSTEM OF CIRLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET-4 )|4 Videos

Similar Questions

Explore conceptually related problems

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) .

Consider a variable line L which passes through the point of intersection P of the line 3x+4y-12=0 and x+2y-5=0 meetingt the coordinate axes at point A and B. Locus of the feet of the perpendicular from the origin on the variable line L has the equation

Consider a variable line L which passes through the point of intersection P of the line 3x+4y-12=0 and x+2y-5=0 meetingt the coordinate axes at point A and B. Locus of the middle point of the segment AB has the eqution

Consider a variable line L which passes through the point of intersection P of the line 3x+4y-12=0 and x+2y-5=0 meetingt the coordinate axes at point A and B. Locus of the centroid of the variable triangle OAB has the equation (where O is origin )

Find the point of intersection of the straight lines x/a+y/b=1 and x/b+y/a=1, (a!=+-b)

A tangent to the circle x^(2)+y^(2)=4 meets the coordinate axes at P and Q. The locus of midpoint of PQ is

If m is a variable the locus of the point of intersection of the lines x/3-y/2=m and x/3+y/2=1/m is

DIPTI PUBLICATION ( AP EAMET)-STRAIGHT LINES -EXERCISE 1B
  1. The vertical straight line passing through the point of intersection o...

    Text Solution

    |

  2. The locus of the point of intersection of the lines x cos alpha+y sin ...

    Text Solution

    |

  3. A variable line drawn throgh the point of intersection of the lines x/...

    Text Solution

    |

  4. Let a and be nonzero reals such that a ne b. Then the equation of the ...

    Text Solution

    |

  5. The equation to the line passing through the intersection of (x)/(b)+(...

    Text Solution

    |

  6. A straight line which makes equal intercepts on positive X and Y axes ...

    Text Solution

    |

  7. The point of concurrence of the lines (3k+1) x-(2k+3)y+(9-k)=0 is

    Text Solution

    |

  8. The point of concurrence of the lines (a+2b)x+(a-b)y+(a+5b)=0 is

    Text Solution

    |

  9. The point of concurrence of the lines (2a+5b)x+(3a-2b)y-5a-3b=0 is

    Text Solution

    |

  10. If 'theta' is the parameter, then the family of lines (2cos theta+3 si...

    Text Solution

    |

  11. If a, b, c are in A.P, the lines ax+by+c=0 pass through the fixed poin...

    Text Solution

    |

  12. If a, b, c are in A.P, then the lines ax+by+c=0

    Text Solution

    |

  13. If 3a+2b+4c=0 then the lines ax+by+c=0 pass through the fixed point

    Text Solution

    |

  14. If 4a^(2)+9b^(2)-c^(2)+12ab=0, then the set of lines ax+by+c=0 pass th...

    Text Solution

    |

  15. k is a nonzero constant. If k=(a+b)/(ab) then the straight line (x)/(a...

    Text Solution

    |

  16. The equations of the sides bar(BC), bar(CA), bar(AB) of a triangle ABC...

    Text Solution

    |

  17. The lines 2x+3y=6, 2x+3y=8 cut the X-axis at A, B respectively. A line...

    Text Solution

    |

  18. The number of lines that can be drawn through the point (-3, 4) at a d...

    Text Solution

    |

  19. The number of lines that can be drawn through the point (5,2) at a dis...

    Text Solution

    |

  20. The number of lines that can be drawn through the point (4, sqrt(13)) ...

    Text Solution

    |