Home
Class 12
MATHS
If the lines ax + ky + 10 = 0, bx + (k +...

If the lines ax + ky + 10 = 0, bx + (k + 1) y + 10 = 0 and cx + (k+2)y + 10 = 0 are concurrent, then

A

a, b, c are in G.P.

B

a, b, c are in H.P

C

a, b, c are in A.P

D

`(a + b)^(2) = c`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|53 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 the lines ax + 2y + 1 = 0, bx + 3y + 1 = 0, cx + 4y + 1 = 0 are concurrent, then a, b, c are in

If the lines 2x + y - 3 = 0 , 5x + ky - 3 = 0 " and " 3x - y - 2 = 0 are concurrent , find the value of k.

If the lines 3x + 4y+ 1 = 0, 5x +lambda y + 3 = 0 and 2x + y-1 = 0 are concurrent, then lambda=

If the lines x - y - 1 = 0, 4x + 3y = k and 2x – 3y +1 = 0 are concurrent, then k is

The values of k for which lines kx + 2y + 2 = 0, 2x + ky + 3 = 0, 3x + 3y + k = 0 are concurrent are

Solve the system: x + y - 2z = 0, 2x - 3y + z = 0, 3x - 7y + 10z = 0, 6x - 9y + 10z = 0.

If the lines x+2y + 5 = 0 and 4x + ky+1=0are perpendicular, find k.

Let three quadratic equations ax^(2) - 2bx + c = 0, bx^(2) - 2 cx + a = 0 and cx^(2) - ax + b = 0 , all have only positive roots. Then ltbr. Which of these are always ture?

If the lines x−2y−6=0,3x+y−4=0 and λx+4y+λ^2=0 can be concurrent , then

NEW JOYTHI PUBLICATION-STRAIGHT LINES-QUESTIONS FROM COMPETITIVE EXAMS
  1. The equation of a line through the point (1, 2) whose distance from t...

    Text Solution

    |

  2. If a line with y - intercept 2 is perpendicular to the lines 3x - 2y=...

    Text Solution

    |

  3. If the lines ax + ky + 10 = 0, bx + (k + 1) y + 10 = 0 and cx + (k+2)...

    Text Solution

    |

  4. The lines (a +2b)x +(a – 3b)y= a - b for different values of a and b ...

    Text Solution

    |

  5. A line passes through the point of intersection of the lines 100x + 5...

    Text Solution

    |

  6. The circumcentre of the triangle with vertices (0, 30), (4,0) and (30...

    Text Solution

    |

  7. A line has slope m and y-intercept 4. The distance between the origin...

    Text Solution

    |

  8. One side of length 3a of a triangle of area a^(2) square units lies on...

    Text Solution

    |

  9. The distance of the point (1, 2) from the line x + y + 5 = 0 measured...

    Text Solution

    |

  10. If the lines y = 3x + 1 and 2y = x + 3 are equally inclined to the li...

    Text Solution

    |

  11. The vertices of a triangle are (3, 0), (3,3) and (0, 3). Then the coo...

    Text Solution

    |

  12. If the distance between (2, 3) and (-5, 2) is equal to the distance be...

    Text Solution

    |

  13. If the three points (0, 1), (0, -1) and (x, 0) are vertices of an equ...

    Text Solution

    |

  14. If the line px - qy = r intersects the co-ordinate axes at (a,0) and ...

    Text Solution

    |

  15. The vertices of a triangle are A(3, 7), B(3, 4) and C(5, 4). The equa...

    Text Solution

    |

  16. The equation of a straight line which passes through the point (a cos...

    Text Solution

    |

  17. The slopes of the lines which make an angle 45^(@) with the line 3x -...

    Text Solution

    |

  18. The equation of one of the lines parallel to 4x – 3y=5 and at a unit ...

    Text Solution

    |

  19. The distance between the points (a cos alpha, a sin alpha) and (a cos...

    Text Solution

    |

  20. The vertices of the rectangle ABCD are A(-1,0), B(2, 0), C(a, b) and ...

    Text Solution

    |