Home
Class 11
MATHS
The equation of the straight line passin...

The equation of the straight line passing through the point of intersection of the straight lines `x/a+x/b=1` and `x/b+y/a=1` and having infinite slope is

A

`x=(ab)/(a+b)`

B

`y=(ab)/(a+b)`

C

`x=a`

D

`y=b`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|102 Videos

  • 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 EXERCISE I|57 Videos

  • REVISION EXERCISE

    AAKASH SERIES|Exercise PROPERTIES OF TRIANGLES|57 Videos

  • TANGENT AND NORMAL

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|48 Videos

Similar Questions

Explore conceptually related problems

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

Find the equation of the straight line passing through the point of intersection of the lines x+y+1=0 and 2x-y+5=0 and containing the point (5,-2) .

The equation of the straight line _|_r to 5x-2y=7 and passing through point of intersection of the lines 2x+3y=6 and 3x+4y=6 is

The equation of the line passing through the point of intersection of the lines 2x+3y-4=0, 3x-y+5=0 and the origin is

The equation of the line passing through the point of intersection of the lines 2x+y+1=0, x-y-7=0 and the point (3, -2) is

The equation of the straight line perpendicular to 5x-2y=7 and passing through the point of intersection of the lines 2x+3y=1 and 3x+4y=6 is

The combined equation of the pair of straight lines passing through the point of intersection of the pair of lines x^2 + 4xy + 3y^2 - 4x - 10y + 3 = 0 and having slopes 1/2 and - 1/3 is

The point of intersection of the straight lines 2x+3y+4=0, 6x-y+12=0 is

The equation of the a straight line passing through the points (1,2) and inclined at 45^(@) to the line y=2x+1 is

AAKASH SERIES-STRAIGHT LINES-EXERCISE -II
  1. Let ABC be a triangle. If P is a point such that AP divides BC in the ...

    Text Solution

    |

  2. The ratio in which the line 3x+4y+2=0 divides the distance between 3x+...

    Text Solution

    |

  3. The equation of the straight line passing through the point of interse...

    Text Solution

    |

  4. The point of intersection of the diagonals of the rhombus formed by th...

    Text Solution

    |

  5. Find the equations of the line passing through the point of intersecti...

    Text Solution

    |

  6. The equation of the one passing through the point of intersection of t...

    Text Solution

    |

  7. The lines 2x+y-1=0, ax+3y-3=0, 3x+2y-2=0 are cuncurrent

    Text Solution

    |

  8. If a ne b ne c and if ax+by+c=0, bx+cy+a=0, cx+ay+b=0 are concurrent ...

    Text Solution

    |

  9. If the lines a(1)x+b(1)y=1,a(2)x+b(2)y=1,a(3)x+b(3)y=1, are concurrent...

    Text Solution

    |

  10. If the lines x+ay=a=0, bx+y+b=0, cx+cy+1=0 (a,b,c being distinct and !...

    Text Solution

    |

  11. If theta is the parameter, then the family of lines represented by (2c...

    Text Solution

    |

  12. All the lines whose sum of reciprocals of intercepts is k will be conc...

    Text Solution

    |

  13. Equation of the line belonging to the system 3x+2y-8+lamda(2x-5y+1)=0 ...

    Text Solution

    |

  14. The orthocentre of the triangle formed by (0,0),(5,-1),(-2,3) is

    Text Solution

    |

  15. The orthocentre of the triangle formed by the lines x+y+1=0,x-y-1=0,3x...

    Text Solution

    |

  16. If the straight lines 2x+3y-1=0,x+2y-1=0 and ax+by-1=0 form a triangle...

    Text Solution

    |

  17. The circumcentre of a triangle with vertices (-2, 3), (2, -1), (4, 0)...

    Text Solution

    |

  18. The circumcentre of the triangle formed by the lines x+y=0, x-y=0 and...

    Text Solution

    |

  19. The incentre of the triangle formed by the lines x+y=1,x=1,y=1 is

    Text Solution

    |

  20. The centre of the triangle formed by the lines 4x+3y+10=0,5x-12y+26=0,...

    Text Solution

    |