Home
Class 11
MATHS
Find the condition in a,b such that the ...

Find the condition in a,b such that the portion of the line ax+by=1, intercepted between the lines ax+y=0 and x + by=0 sustains a right angle at origin.

Text Solution

Verified by Experts

`lambdain[-2,-sqrt3]cup((3-sqrt21)/4,(3+sqrt21)/4)`
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

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

Which of the following is the angle between the lines x =0 and ax+by+c=0?

Show that the circle with the portion of the line 3x + 4y = 12 intercepted between the axes as diameter, passes through the origin.

Show that the circle with the portion of the line 3x + 4y = 12 intercepted between the axes as diameter , passes through the origin .

Find the coordinates of the middle point of the portion of the straight line 2x+y=4 intercepted between the x and the y - axes.

Show that the circle with the portion of the line 3x + 4y = 12 intercepted between the axes as diameter passes through the origin.

Two straight lines , drawn through the origin , trisect the portion of the line 4x+3y=12 intercepted between the axes. Find the equations of the straight lines.

Find the locus of the mid-point of the portion of the line x cosalpha+ysinalpha=4 intercepted between the axes of coordinates.

Find the coordinates of the midpoint of the line segment intersected by the axes of the straight line 4x + 3y + 12 = 0.

Find the acute angle between the lines 7x-4y =0 and 3x-11y +2=0.

PATHFINDER-CARTESIAN COORDINATES AND STRAIGHT LINE-QUESTION BANK
  1. The line segment joining A(3,0) and B(5,2) is rotated about A is the a...

    Text Solution

    |

  2. A straight line L with negative slope passes through the point (8,2) a...

    Text Solution

    |

  3. Find the condition in a,b such that the portion of the line ax+by=1, i...

    Text Solution

    |

  4. Find the set of values of lambda, for which the point (sqrt(4-lambda^2...

    Text Solution

    |

  5. Prove that two of the four lines represented by the joint equation ax...

    Text Solution

    |

  6. A variable line makes intercepts on the co-ordinate axes , the sum of ...

    Text Solution

    |

  7. The pair of lines joining the origin to the points of intersection of ...

    Text Solution

    |

  8. The number of points, having both co-ordinates as integers, that lie ...

    Text Solution

    |

  9. Locus of the image of the point (2,3) in the line (2x-3y+4)+k(x-2y+3)=...

    Text Solution

    |

  10. The least positive value of t so that the lines x = t+alpha, y+16 = 0 ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |