Home
Class 11
MATHS
If a , b and c are in A P , then the str...

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)

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    CENGAGE ENGLISH|Exercise All Questions|508 Videos
  • TRIGONOMETRIC FUNCTIONS

    CENGAGE ENGLISH|Exercise All Questions|983 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 , 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.

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 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 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 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 , b ,c are in harmonic progression, then the straight line ((x/a))+(y/b)+(l/c)=0 always passes through a fixed point. Find that point.

If a/sqrt(b c)-2=sqrt(b/c)+sqrt(c/b), where a , b , c >0, then the family of lines sqrt(a)x+sqrt(b)y+sqrt(c)=0 passes though the fixed point given by (a) (1,1) (b) (1,-2) (c) (-1,2) (d) (-1,1)

If a/(b c)-2=sqrt(b/c)+sqrt(c/b), where a , b , c >0, then the family of lines sqrt(a)x+sqrt(b)y+sqrt(c)=0 passes though the fixed point given by (a) (1,1) (b) (1,-2) (-1,2) (d) (-1,1)

The family of lines (l+3m) x + 2(l+m) y= (m-l) , where l!=0 passes through a fixed point having coordinates (A) (2, -1) (B) (0, 1) (C) (1, -1) (D) (2, 3)

CENGAGE ENGLISH-STRAIGHT LINES-All Questions
  1. The area enclosed within the curve |x|+|y|=1 is

    Text Solution

    |

  2. Find the orthocentre of the triangle the equations of whose sides are ...

    Text Solution

    |

  3. If a , b and c are in A P , then the straight line a x+b y+c=0 will al...

    Text Solution

    |

  4. Statement-l: If the diagonals of the quadrilateral formed by the lines...

    Text Solution

    |

  5. Statement :Two different lines can be drawn passing through two given ...

    Text Solution

    |

  6. Statement 1: The internal angle bisector of angle C of a triangle A B ...

    Text Solution

    |

  7. The joint equation of lines y=xa n dy=-x is y^2=-x^2, i.e., x^2+y^2=0 ...

    Text Solution

    |

  8. Statement I If sum of algebraic distances from points A(1,2),B(2,3),C(...

    Text Solution

    |

  9. Each question has four choice: a, b, c and d, out of which only one is...

    Text Solution

    |

  10. Statement 1:If the point (2a-5,a^2) is on the same side of the line x+...

    Text Solution

    |

  11. Statement 1: Each point on the line y-x+12=0 is equidistant from the l...

    Text Solution

    |

  12. If lines p x+q y+r=0,q x+r y+p=0 and r x+p y+q=0 are concurrent, the...

    Text Solution

    |

  13. the diagonals of the parallelogram formed by the the lines a1x+b1y+c1=...

    Text Solution

    |

  14. If the lines joining the origin and the point of intersection of curve...

    Text Solution

    |

  15. Prove that the angle between the lines joining the origin to the point...

    Text Solution

    |

  16. Prove that the straight lines joining the origin to the point of in...

    Text Solution

    |

  17. If x^2-2p x y-y^2=0 and x^2-2q x y-y^2=0 bisect angles between each ot...

    Text Solution

    |

  18. Find the value of a for which the lines represented by a x^2+5x y+2y^2...

    Text Solution

    |

  19. Find the acute angle between the pair of lines represented by (xcosalp...

    Text Solution

    |

  20. If the angle between the two lines represented by 2x^2+5x y+3y^2+6x+7y...

    Text Solution

    |