Home
Class 11
MATHS
For all real values of aa n db , lines (...

For all real values of `aa n db ,` lines `(2a+b)x+(a+3b)y+(b-3a)=0` and `m x+2y+6=0` are concurrent. Then `|m|` is equal to______

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

For all real values of a and b lines (2a + b)x +(a +3b)y + (b-3a) =0 and mx+ 2y +6 =0 are concurrent, then m is equal to (A) -2 (B) -3(C)-4 (D) -5

The lines 2x + y -1=0 , ax+ 3y-3=0 and 3x + 2y -2=0 are concurrent for -

Find the value of a for which the lines 2x+y-1=0 , a x+3y-3=0 , 3x+2y-2=0 are concurrent.

Find the value of a for which the lines 2x+y-1=0 , a x+3y-3=0 , 3x+2y-2=0 are concurrent.

Find the value of p, so that three lines 3x + y = 2, px + 2y-3=0 and 2x-y=3 are concurrent.

The value(s) of t for which the lines 2x+3y=5, t^(2)x+ty-6=0 and 3x-2y-1=0 are concurrent, can be :

The lines x=3,y=4and 4x-3y+a=0 are concurrent for a equal to

Show that the lines 2x + 5y = 1, x - 3y = 6 and x + 5y + 2 = 0 are concurrent.

Find the value of m so that the lines 3x+y+2=0, 2x-y+3=0 and x+my-3=0 may be concurrent.

For what value of lambda are the three lines 2x-5y+3=0,\ 5x-9y+lambda=0\ a n d\ x-2y+1=0 concurrent?

CENGAGE ENGLISH-STRAIGHT LINES-All Questions
  1. The equation of the lines passing through the point (1,0) and at a dis...

    Text Solution

    |

  2. The number of values of k for which the lines (k+1)x+8y=4k and kx+(k+3...

    Text Solution

    |

  3. For all real values of aa n db , lines (2a+b)x+(a+3b)y+(b-3a)=0 and m ...

    Text Solution

    |

  4. The line x=c cuts the triangle with corners (0,0),(1,1) and (9,1) into...

    Text Solution

    |

  5. The absolute value of the sum of the abscissas of all the points on th...

    Text Solution

    |

  6. The point (x , y) lies on the line 2x+3y=6. The smallest value of the ...

    Text Solution

    |

  7. The equations of the perpendicular bisectors of the sides A Ba n dA C ...

    Text Solution

    |

  8. One of the diagonals of a square is the portion of the line x/2+y/3=2 ...

    Text Solution

    |

  9. Two sides of a triangle are along the coordinate axes and the medians ...

    Text Solution

    |

  10. The graph of y^2+2x y+40|x|=400 divides the plane into regions. Then ...

    Text Solution

    |

  11. In a triangle A B C ,A=(alpha,beta)B=(2,3),a n dC=(1,3)dot Point A l...

    Text Solution

    |

  12. If the straight lines 2x+3y-1=0,x+2y-1=0,and a x+b y-1=0 form a trian...

    Text Solution

    |

  13. Let O be the origin. If A(1,0)a n dB(0,1)a n dP(x , y) are points such...

    Text Solution

    |

  14. If the area of the rhombus enclosed by the lines l x+-m y+-n=0 is 2 s...

    Text Solution

    |

  15. In a triangle A B C , the bisectors of angles Ba n dC lies along the...

    Text Solution

    |

  16. If a/(b c)-2=sqrt(b/c)+sqrt(c/b), where a , b , c >0, then the family ...

    Text Solution

    |

  17. P(m , n) (where m , n are natural numbers) is any point in the interio...

    Text Solution

    |

  18. A diagonal of rhombus A B C D is member of both the families of lines ...

    Text Solution

    |

  19. A regular polygon has two of its consecutive diagonals as lines sqrt(3...

    Text Solution

    |

  20. Find the locus of the circumcenter of a triangle whose two sides are ...

    Text Solution

    |