Home
Class 12
MATHS
If a ,\ b , c are in A.P., then the line...

If `a ,\ b , c` are in A.P., then the line `a x+b y+c=0` passes through a fixed point. write the coordinates of that point.

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 4|15 Videos

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 5|16 Videos

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 2|18 Videos

  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

Similar Questions

Explore conceptually related problems

If 3a + 2b + 6c = 0 the family of straight lines ax+by = c = 0 passes through a fixed point . Find the coordinates of fixed point .

If non-zero numbers a,b,c are in H.P., then the straight line x/a+ y/b+1/c=0 always passes through a fixed point. That point is :

If a, b, c are in A.P. then 3^a, 3^b, 3^c are in:

If |[a,b-c,c+b],[a+c,b,c-a],[a-b,a+b,c]|=0 , then the line a x+b y+c=0 posses through the fixed point which is

Let the algebraic sum of the perpendicular distance from the points (2, 0), (0,2), and (1, 1) to a variable straight line be zero. Then the line passes through a fixed point whose coordinates are___

If a,b,c and in A.P, then x^a,x^b,x^c are in:

A ray of light passing through the point (1, 2) reflects on the x-axis at point A and the reflected ray passes through the point (5, 3). Find the coordinates of A.

If 5a+5b+20 c=t , then find the value of t for which the line a x+b y+c-1=0 always passes through a fixed point.

If a point P is the midpoint of the line segment joining the two points then write coordinates of point P. .

ARIHANT MATHS-THE STRAIGHT LINES-Exercise For Session 3
  1. Locus of the point of intersection of lines x cosalpha + y sin alpha =...

    Text Solution

    |

  2. If a ,\ b , c are in A.P., then the line a x+b y+c=0 passes through a ...

    Text Solution

    |

  3. If the lines a x+12 y+1=0,\ b x+13 y+1=0 and c x+14 y+1=0 are concurre...

    Text Solution

    |

  4. The lines ax + by + c = 0, where 3a + 2b + 4c= 0, are concurrent at th...

    Text Solution

    |

  5. If the lines ax+y+1=0, x+by+1=0 and x+y+c=0 (a,b and c being distinct ...

    Text Solution

    |

  6. If u=a1x+b1y+c1=0,v=a2x+b2y+c2=0, and (a1)/(a2)=(b1)/(b2)=(c1)/(c2), t...

    Text Solution

    |

  7. The straight lines x+2y-9=0,3x+5y-5=0 , and a x+b y-1=0 are concurrent...

    Text Solution

    |

  8. If the straight lines x+y-2=0,2x-y+1=0 and a x+b y-c=0 are concurrent,...

    Text Solution

    |

  9. The straight line through the point of intersection of ax + by+c=0 and...

    Text Solution

    |

  10. If the equations of three sides of a triangle are x+y=1, 3x + 5y = 2 a...

    Text Solution

    |

  11. Find the equations of the line through the intersection of 2x - 3y + 4...

    Text Solution

    |

  12. The locus of point of intersection of the lines x/a-y/b=m and x/a+y/b...

    Text Solution

    |

  13. The condition on a and b , such that the portion of the line a x+b y-1...

    Text Solution

    |

  14. If the lines (a-b-c) x + 2ay + 2a = 0 , 2bx + ( b- c - a) y + 2b = 0 ...

    Text Solution

    |

  15. If the lines ax+by+c=0, bx+cy+a=0 and cx+ay+b=0 (a, b,c being distinct...

    Text Solution

    |

  16. Find the equation of the straight line which passes through the inte...

    Text Solution

    |

  17. Let a ,\ b ,\ c be parameters. Then the equation a x+b y+c=0 will repr...

    Text Solution

    |

  18. Prove that the family of lines represented by x(1+lambda)+y(2-lambda)+...

    Text Solution

    |

  19. Prove that (-a,-a/2) is the orthocentre of the triangle formed by the ...

    Text Solution

    |