Home
Class 12
MATHS
If a, b, c be in A.P, then a x+b y+c=0 r...

If `a, b, c` be in A.P, then `a x+b y+c=0` represents

A

a single 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:
B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|306 Videos
  • Definite Integrals and its Application

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|453 Videos

Similar Questions

Explore conceptually related problems

If a,b,c are in A.P., then 7^(a) , 7^(b) and 7^(c ) are in :

If a,b,c are in A.P., the 3^(a), 3^(b) , 3^(c ) are in :

If a, b,c are in A.P., then the value of the determinant |(x+2,x+3,x+2a),(x+3,x+4,x+2b),(x+4,x+5,x+2c)| is :

If a, b, c are in G.P then the value of the determinant Delta= [[a, b, ax+by],[b ,c ,b x+c y],[a x+b y, b x+c y, 0]] is

If a,b,c are in A.P. and a^(2) , b^(2) , c^(2) are in H.P. , then :

If f(x) is a polynomial function of second degree. IF f(1) = f(-1) and a,b,c are in A.P., then f'(a), f'(b), f'(c ) are in :

If a, b, c are in A.P., a, x, b are in G.P., and b, y, c are in G.P., then (x, y) lies on :

If a,b,c are three unequal numbers such that a,b,c are in A.P. And b-a, c -b , a are in G.P., then a: b : c is :

If (a+b)/(1-a b), b, (b+c)/(1-b c) are in A.P, then a, (1)/(b), c are in

HIMALAYA PUBLICATION-COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES-QUESTION BANK
  1. The line L given by (x)/(5)+(y)/(b)=1 passes through the point (13, 32...

    Text Solution

    |

  2. Angles made with the x -axis by two lines drawn through the point (1,2...

    Text Solution

    |

  3. If a, b, c be in A.P, then a x+b y+c=0 represents

    Text Solution

    |

  4. The circumcentre and the centroid of a triangle are (6,2) and (3,3) th...

    Text Solution

    |

  5. If the sum of the distances of a point from two perpendicular lines in...

    Text Solution

    |

  6. Let p, q, r be distinct positive numbers. Three lines p x+q y+r=0, q x...

    Text Solution

    |

  7. Let 0 leq theta leq (pi)/(2) and x=X cos theta+Y sin theta <bx> y=X si...

    Text Solution

    |

  8. The equation of a line passing through the point of intersection of x-...

    Text Solution

    |

  9. The equation of one side of a rectangle is 3 x-4 y-10=0 and the coordi...

    Text Solution

    |

  10. A line passes through (2,2) and is perpendicular to the line 3x+y=3 ...

    Text Solution

    |

  11. The range of values of theta in the interval (0, pi) such that the poi...

    Text Solution

    |

  12. If the point (a, a) falls between the lines |x+y|=2, then :

    Text Solution

    |

  13. If the point P(a, b) lies on the line 3 x+2 y=13 and the point Q(b, a)...

    Text Solution

    |

  14. The bisector of the acute angle formed between the linex 4 x-3 y+7=0 a...

    Text Solution

    |

  15. Circumcentre of the triangle formed by the lines xy+2x+2y+4=0 and x+...

    Text Solution

    |

  16. Point underline(Q) is symmetric to P(4,-1) with respect to the bisecto...

    Text Solution

    |

  17. The coordinate axes are rotated about the origin O in the counter cloc...

    Text Solution

    |

  18. The area of the quadrilateral formed by two pairs of lines l^(2) x^(2)...

    Text Solution

    |

  19. The transformed equation of x^(2)+6 x y+8 y^(2)=10 when the axes are r...

    Text Solution

    |

  20. The value of k for which the lines 2 x-3 y+k=0,3 x-4 y-13=0,8 x-11 y-3...

    Text Solution

    |