Home
Class 12
MATHS
If a, b, c are in AP then ax + by +c=0 ...

If a, b, c are in AP then ax + by +c=0 represents

A

a single line

B

a family of concurrent lines

C

a family of parallel lines

D

Two lines which are not parallel

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|122 Videos
  • STRAIGHT LINES

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|122 Videos
  • STATISTICS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|40 Videos
  • THREE DIMENSIONAL GEOMETRY

    NEW JOYTHI PUBLICATION|Exercise Objective|36 Videos

Similar Questions

Explore conceptually related problems

If a, b, c are in AP then ax + by + c = 0 will always pass through a fixed point whose coordinates are

If 2a , b , 2c are in A.P. where a , b , c are R^(+) , then the expression f(x)=(ax^(2)-bx+c) has

If in A B C , side a , b , c are in A.P. then (a) B > 60^0 (b) B<60^0 (c) Blt=60^0 (d) B=|A-C|

If a,b,c are in A.P. then (a-b)/(b-c) is equal to ………….

If a, b, c, l,m are in A.P, then the value of a-4b + 6c -4l +m is.

If l n(a+c),l n(a-c)a n dl n(a-2b+c) are in A.P., then (a) a ,b ,c are in A.P. (b) a^2,b^2, c^2, are in A.P. (c) a ,b ,c are in G.P. d. (d) a ,b ,c are in H.P.

Let the positive numbers a , b , c , d be in AP. Then a b c ,a b d ,a c d ,b c d are

If a,b, and c are in A.P and b-a,c-b and a are in G.P then a:b:c is

If a, b, c are in A.P. then show that 3^(a), 3^(b), 3^(c) are in G.P.

NEW JOYTHI PUBLICATION-STRAIGHT LINES-EXERCISE
  1. Line x + 2y - 8 = 0 is the perpendicular bisector of AB. If B = (3, 5...

    Text Solution

    |

  2. If the algebraic sum of the distances from the points (2,0), (0, 2) a...

    Text Solution

    |

  3. If a, b, c are in AP then ax + by +c=0 represents

    Text Solution

    |

  4. The set of lines ax + by + c = 0 where 3a + 2b + 4c = 0 intersect at ...

    Text Solution

    |

  5. If a, b, c are in AP then ax + by + c = 0 will always pass through a ...

    Text Solution

    |

  6. The mid points of the sides of a triangle are (5, 0), (5, 12) and (0,...

    Text Solution

    |

  7. One vertex of the equilateral triangle with centroid at the origin an...

    Text Solution

    |

  8. A (-5,0) and B (3,0) are two of the verti- ces of a triangle ABC. Its...

    Text Solution

    |

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

    Text Solution

    |

  10. If the foot of perpendicular from the origin to a straight line is at...

    Text Solution

    |

  11. A rectangle has two opposite vertices at (1, 2) and (5,5). If the oth...

    Text Solution

    |

  12. If the lines ax + 2y + 1 = 0, bx + 3y + 1 = 0, cx + 4y + 1 = 0 are co...

    Text Solution

    |

  13. The distance of the point (3, 5) from the line 2x + 3y - 14 = 0 measu...

    Text Solution

    |

  14. A straight line through the point (2, 2) intersects the lines sqrt3 x...

    Text Solution

    |

  15. If the extremities of the base of an isosce- les triangle are the poi...

    Text Solution

    |

  16. The equation of the line passing through the intersection of x - sqrt...

    Text Solution

    |

  17. The equations of the lines through (-1,-1) and making angles 45^(@) w...

    Text Solution

    |

  18. If the vertices of a diagonal of a square (-2, 4) and (-2, 2) then it...

    Text Solution

    |

  19. The orthocentre of the triangle formed by the lines x = 0, y = 0 and ...

    Text Solution

    |

  20. The foot of the perpendicular from the point (3,4) on the line 3x – 4...

    Text Solution

    |