Home
Class 11
MATHS
If ax-2y-1=0 and 6x-4y+b=0 represent the...

If ax-2y-1=0 and 6x-4y+b=0 represent the same line, find the values of a and b.

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise EXERCISE|304 Videos

  • STATISTICS

    MODERN PUBLICATION|Exercise EXERCISE|98 Videos

  • TRIGNOMETRY

    MODERN PUBLICATION|Exercise EXERCISE|730 Videos

Similar Questions

Explore conceptually related problems

If 3x-by+2=0 and 9x+3y+a=0 represent the same straight line, find the values of a and b.

If the lines 3x-4y+4=0 and 6x-8y-7=0 are tangents to a circle, then find the radius of the circle.

If the difference between the corresponding roots of the equations x^(2)+ax+b=0 and x^(2)+bx+a=0(a1=b) is the same, find the value of a+b .

If (x+1,x) and (6,y-2) represent the same point in cartesian plane, then find x and y.

The equation ax^2+4xy+y^2+ax+3y+2=0 represents a parabola. Find the value of a .

Equation ax^3-9x^2y-xy^2+4y^3=0 represents three straight lines. If the two of the lines are perpendicular , then a is equal to a. -5 b. 5 c. -4 d. 4

Find the equation of thebisector of the angle between the lines 2x-3y - 5 = 0 and 6x - 4y + 7 = 0 which is the supplement of the angle containing the point (2,-1)

The lines x+3y-1=0 and x-4y=0 intersect each other. Find their point of intersection.

y = (ax-b)/((x-1)(x-4)) has a turning point P (2,-1). Find the values of 'a' and 'b' and show that y is maximum at P.

If lim_(xtooo)((x^(2)+1)/(x+1)-ax-b)=0 , find the values of a and b.

MODERN PUBLICATION-STRAIGHT LINES -EXERCISE
  1. Find the point of intersection of the straight lines : x/3-y/4=0, x/...

    Text Solution

    |

  2. Two lines cut the axis of x at distances of 4 and -4 and the axis of y...

    Text Solution

    |

  3. If ax-2y-1=0 and 6x-4y+b=0 represent the same line, find the values of...

    Text Solution

    |

  4. The line 2x-3y=4 is perpendicular bisector of the line AB. If the coor...

    Text Solution

    |

  5. Show that the straight lines : x-y-1=0, 4x + 3y = 25 and 2x-3y + 1 = 0...

    Text Solution

    |

  6. For what value of K are the three st. lines : 2x+y-3=0, 5x + ky-3=0 ...

    Text Solution

    |

  7. For what value of K are the three st. lines : 3x+y-2=0,kx+ 2y-3=0 an...

    Text Solution

    |

  8. If the lines whose equations are y=m1x+c1,y=m2x+c2and y=m3x+c3 are con...

    Text Solution

    |

  9. Find the condition that the st. lines : p1x+q1y=1,p2x+q2y=1 and p3x+q3...

    Text Solution

    |

  10. Find the foot of the perpendicular from the point (-1, 2) on the st. l...

    Text Solution

    |

  11. Prove that the diagonals of the parallelogram formed by the four lines...

    Text Solution

    |

  12. Prove that the following lines are concurrent. Also, find the point of...

    Text Solution

    |

  13. Prove that the following lines are concurrent. Also, find the point of...

    Text Solution

    |

  14. The sides of a triangle are given by : x-2y+9=0, 3x + y-22 =0 and x + ...

    Text Solution

    |

  15. Obtain the co-ordinates of the feet of perpendiculars drawn from the o...

    Text Solution

    |

  16. Vertices of a triangle are (-1, 3), (2, -1), (0, 0). Find its orthocen...

    Text Solution

    |

  17. A triangle is determined by the lines : y+x-6=0, 3y-x + 2 = 0, 3y = 5x...

    Text Solution

    |

  18. Two vertices of a triangle are (3,- 1) and (- 2, 3) and its orthocentr...

    Text Solution

    |

  19. Find the co-ordinates of the incentre of the triangle formed by the li...

    Text Solution

    |

  20. Find the co-ordinates of the circumcentre of the triangle whose vertic...

    Text Solution

    |