Home
Class 11
MATHS
For agtbgtcgt0, the distance between (1 ...

For `agtbgtcgt0`, the distance between (1 ,1) and the point of intersection of the lines ax + by + c = 0 and bx + ay +c = 0 is less than `2sqrt2`, then

A

`a+b-cgt0`

B

`a-b+clt0`

C

a-b+cgt0

D

`a+b-clt0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM AND PRINCIPLE OF MATHEMATICAL INDUCTION

    PATHFINDER|Exercise QUESTION BANK|68 Videos

  • CIRCLE

    PATHFINDER|Exercise QUESTION BANK|198 Videos

Similar Questions

Explore conceptually related problems

Let a, b , c and d be nonzero number . If the point of intersection of the lines 4ax + 2ay + c = 0 and 5 b x + 2 by + d = 0 lies in the fouth quadrant and is eqaidistant from the two axes , then _

A,B,C,D are the points of intersection with the coordinate axes of the line ax+by=ab and bx+ay=ab. Then

Find the distance between the point (1+sqrt2,1-sqrt2) and (0,0)

A straight line joining the point (1, 1, 1) and (0, 0, 0) intersects the plane 2x + 2y + z = 10 at-

Let a,b, c and d be non-zero numbers. If the point of intersection of the lines 4ax + 2ay+c=0 and 5bx+2by +d=0 lies in the fourth quadrant and is equidistant from the two axes, then

The angle between the lines y=0 and ax+by +c=0 is -

The equations of the line passing through the point of intersection of the lines x-3y+1=0 and 2x+5y-9=0 , whose distance from the origin is sqrt5 .

Find the angle between the straight lines : ax+by+c=0andbx-ay+c_(1)=0

If the lines ax+by+c=0, bx+cy+a=0 and Cx+ay+b=0 are concurrent (a+b+cne0) then

The lines parallel ot the x-axis and passing through the intersection of the lines ax+2by+3b=0 and bx-2ay-3a=0 [where (a,b)ne (0,0)] is-

PATHFINDER-CARTESIAN COORDINATES AND STRAIGHT LINE-QUESTION BANK
  1. The least positive value of t so that the lines x = t+alpha, y+16 = 0 ...

    Text Solution

    |

  2. If the point (2costheta, 2sintheta), for theta in (0 ,2pi) lies in th...

    Text Solution

    |

  3. Number of points having distance sqrt5 from the straight line x-2y+1 =...

    Text Solution

    |

  4. For agtbgtcgt0, the distance between (1 ,1) and the point of intersect...

    Text Solution

    |

  5. A ray light along x+sqrt3y = sqrt3 gets reflected upon reaching the x-...

    Text Solution

    |

  6. The x co -ordinate of the incentre of the triangle that has the coordi...

    Text Solution

    |

  7. The equation 2x^2+5xy - 12y^2=0 represents a

    Text Solution

    |

  8. The number of lines which pass through the point (2 , -3) and are the ...

    Text Solution

    |

  9. If the line 2x + y = k passes through the point which divides the line...

    Text Solution

    |

  10. A line is drawn through the point ( 1, 2) to meet the coordinate axes ...

    Text Solution

    |

  11. Let P(2 ,3), Q ( -2 ,1) be the vertices of the triangle PQR .If the ce...

    Text Solution

    |

  12. The number of integral values of 'm' for which the x coordinate of the...

    Text Solution

    |

  13. If a straight line passes through the point (alpha ,beta) and the port...

    Text Solution

    |

  14. The line joining A (b cos alpha, b sin alpha ) and B (a cos beta, a si...

    Text Solution

    |

  15. A straight line through the point of intersection of the lines x+2y =...

    Text Solution

    |

  16. A straight lines L through the point ( 3, 2) is inclined at an angle ...

    Text Solution

    |

  17. The lines L1:y-x =0 and L2: 2x+y =0 intersect the line L3 : y+2 =0 at ...

    Text Solution

    |

  18. The coordinates of the two points lying on x + y = 4 and at a unit dis...

    Text Solution

    |

  19. If the three points A (1, 6), B(3,-4) and C(x,y) are collinear then th...

    Text Solution

    |

  20. Find the image of the point (-8,12) which respect to the line 4x + 7y...

    Text Solution

    |