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.

A

a straight line

B

a family of concurrent lines

C

a family of parallel lines

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • THE STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 4|15 Videos

  • THE STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 5|15 Videos

  • THE STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 2|16 Videos

  • SETS, RELATIONS AND FUNCTIONS

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

  • THEORY OF EQUATIONS

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

Similar Questions

Explore conceptually related problems

If a , b , c are in A.P ., then the equation 2ax+by +3c = 0 always passes through

If a , b and c are in A P , then the straight line a x+b y+c=0 will always pass through a fixed point whose coordinates are______

If a , b and c are in A P , then the straight line a x+b y+c=0 will always pass through a fixed point whose coordinates are (a) (1,2) (b) (1,-2) (c) (2,3) (d) (0,0)

(i) If a, b, c, are in A.P. then show that ax….+….by +c=0 passes through a fixed point. Find then fixed point. (ii) If 9a^(2)+16b^(2)-24ab-25c^(2)=0, then the family of straight lines ax+by+0 is concurrent at the point whose co-ordinates are given by "________" (iii) If 3a+4b-5c=0, then the family of straight lines ax+by+c=0 passes through a fixed point. Find the coordinates of the point.

If a, b, c are in A.P. then the family of lines ax+by+c=0 (A) passes through a fixed point (B) cuts equal intercepts on both the axes (C) forms a triangle with the axes with area = 1/2 |a+c -2b| (D) none of these

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 4a^2+c^2=b^2-4a c , then the variable line a x+b y+c=0 always passes through two fixed points. The coordinates of the fixed points can be (a) (-2,-1) (b) (2,-1) (c) (-2,1) (d) (2,1)

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

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

If a ,b ,c are variables such that 3a+2b+4c=0 , then show that the family of lines givenby a x+b y+c=0 pass through a fixed point. Also, find that point.

ARIHANT MATHS ENGLISH-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. If the equations of three sides of a triangle are x+y=1, 3x + 5y = 2 a...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. The condition on aa n db , such that the portion of the line a x+b y-1...

    Text Solution

    |

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

    Text Solution

    |

  14. Prove that the lines ax+by + c = 0, bx+ cy + a = 0 and cx+ay+b=0 are ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |