Home
Class 11
MATHS
If a variable line passes through the po...

If a variable line passes through the point of intersection of the line `x+2y-1=0` and `2x-y-1=0` and meets the coordinate axes in A and B, then the locus of the mid-point of AB is:

A

x + 3y = 0

B

x + 3y = 10

C

x + 3y = 10xy

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|34 Videos

  • STRAIGHT LINES

    OBJECTIVE RD SHARMA ENGLISH|Exercise SECTION - II (ASSERTION - REASON TYPE MCQs|1 Videos

  • SETS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

If a variable line passes through the point of intersectionof the lines x + 2y - 1 = 0 and 2x - y-1 = 0 and meets the coordinate axes in A and B , then the locus of the midpoint of AB is : (A) x + 3y = 0 (B) x + 3y = 10 (C) x + 3y = 10xy (D) None of these

If a variable line drawn through the intersection of the lines x/3+y/4=1 and x/4+y/3=1 meets the coordinate axes at A and B, (A !=B), then the locus of the midpoint of AB is (A) 6xy = 7 (x+y) (B) 4 (x+y)^2 - 28(x+y) + 49 =0 (C) 7xy = 6(x+y) (D) 14 (x+y)^2 - 97(x+y) + 168 = 0

A variable straight line is drawn through the point of intersection of the straight lines x/a+y/b=1 and x/b+y/a=1 and meets the coordinate axes at A and Bdot Show that the locus of the midpoint of A B is the curve 2x y(a+b)=a b(x+y)

A circle passes through the points of intersection of the lines lamda x-y+1=0 and x-2y+3=0 with the coordinates axes. Show that lamda=2 .

If a circle passes through the points where the lines 3kx- 2y-1 = 0 and 4x-3y + 2 = 0 meet the coordinate axes then k=

The straight line passing through the point of intersection of the straight line x+2y-10=0 and 2x+y+5=0 is

A line passes through the point of intersection of the line 3x+y+1=0 and 2x-y+3=0 and makes equal intercepts with axes. Then, equation of the line is

If a circle passes through the point of intersection of the lines x+ y +1=0 and x+ lambda y-3=0 with the coordinate axis, then find the value of lambda .

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

The line 5x + 4y = 0 passes through the point of intersection of straight lines x+2y-10 = 0, 2x + y =-5

OBJECTIVE RD SHARMA ENGLISH-STRAIGHT LINES-Exercise
  1. If A(cosalpha,sinalpha),B(sinalpha,-cosalpha),C(1,2) are the vertic...

    Text Solution

    |

  2. A and B are two fixed points. Draw the locus of a point P such that an...

    Text Solution

    |

  3. If a variable line passes through the point of intersection of the lin...

    Text Solution

    |

  4. A variable straight line is drawn through the point of intersection of...

    Text Solution

    |

  5. The nearest point on the line 3x- 4y = 25 from the origin is

    Text Solution

    |

  6. The distance between the lines (x+7y)^2+4sqrt(2)(x+7y)-42=0 is

    Text Solution

    |

  7. The image of the point (-1,3) by the line x - y = 0 , is

    Text Solution

    |

  8. If A(1,1), B(sqrt3+1,2) and C(sqrt3,sqrt3+2) are three vertices of a s...

    Text Solution

    |

  9. If (-4,0) and (1,-1) are two vertices of a triangle of area 4s qdotu n...

    Text Solution

    |

  10. If the line x+y-1=(lamda)/(2)=0 passing through the intersection of ...

    Text Solution

    |

  11. The distance between the lines 5x+12y+65=0 and 5x+12y-39 = 0 is :

    Text Solution

    |

  12. Prove that the locus of the centroid of the triangle whose vertices ar...

    Text Solution

    |

  13. The equation of the line with slope -3//2 and which in concurrent with...

    Text Solution

    |

  14. The point of intersection of the lines x/a+y/b=1 and x/b+y/a=1 lies on

    Text Solution

    |

  15. Find the equation of the bisector of the obtuse angle between the line...

    Text Solution

    |

  16. If the equation of the locus of a point equidistant from the points (a...

    Text Solution

    |

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

    Text Solution

    |

  18. If each of the points (x1,4),(-2,y1) lies on the line joining the poin...

    Text Solution

    |

  19. Equation of the line passing through the point (acos^3theta, a sin^3th...

    Text Solution

    |

  20. The ends of the base of an isosceles triangle are at (2a, 0)and (0, a)...

    Text Solution

    |