Home
Class 11
MATHS
A line L passing through the point (2, 1...

A line `L` passing through the point (2, 1) intersects the curve `4x^2+y^2-x+4y-2=0` at the point `Aa n dB` . If the lines joining the origin and the points `A ,B` are such that the coordinate axes are the bisectors between them, then find the equation of line `Ldot`

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

If the lines joining the origin to the points of intersection of the line y=mx+2 and the curve x^(2)+y^(2)=1 are at right-angles, then

Find the equation of the line joining the origin to the point of intersection of 4x+3y=8 and x+y=1 .

The equation of the line joining the origin to the point of intersection of the lines 2x^2+xy-y^2+5x-y+2=0 is

A line L passing through the focus of the parabola (y-2)^(2)=4(x+1) intersects the two distinct point. If m be the slope of the line I,, then

If the curve y=ax^(2)+bx+c passes through the point (1, 2) and the line y = x touches it at the origin, then

Find the equation of a line passing through the point (2,3) and parallel to the line 3x-4y+5=0 .

The angle between the lines joining the origin to the points of intersection of the line sqrt3x+y=2 and the curve y^(2)-x^(2)=4 is

The lines joining the origin to the points of intersection of the line 4x+3y=24 with the circle (x-3)^(2)+(y-4)^(2)=25 are

The lines joining the origin to the points of intersection of the line 3x-2y -1 and the curve 3x^2 + 5xy -3y^2+2x +3y= 0 , are

Find the equation of the circle passing through the origin and the points where the line 3x+4y=12 meets the axes of coordinates.

CENGAGE ENGLISH-STRAIGHT LINES-All Questions
  1. The equation of a line which is parallel to the line common to the pai...

    Text Solution

    |

  2. If the sum of the slopes of the lines given by x^2-2c x y-7y^2=0 is fo...

    Text Solution

    |

  3. Area of the triangle formed by the line x+y=3 and angle bisectors o...

    Text Solution

    |

  4. The equation x^2y^2-9y^2-6x^2y+54 y=0 represents (a)a pair of strai...

    Text Solution

    |

  5. The straight lines represented by (y-m x)^2=a^2(1+m^2) and (y-n x)^2=a...

    Text Solution

    |

  6. If the pairs of lines x^2+2x y+a y^2=0 and a x^2+2x y+y^2=0 have exact...

    Text Solution

    |

  7. The condition that one of the straight lines given by the equation a x...

    Text Solution

    |

  8. If the represented by the equation 3y^2-x^2+2sqrt(3)x-3=0 are rotated ...

    Text Solution

    |

  9. A point moves so that the distance between the foot of perpendiculars ...

    Text Solution

    |

  10. The angle between the pair of lines whose equation is 4x^2+10 x y+m ...

    Text Solution

    |

  11. Find the point of intersection of the pair of straight lines represent...

    Text Solution

    |

  12. Find the angle between the lines represented by x^2+2x ysectheta+y^2=0...

    Text Solution

    |

  13. If the pair of lines sqrt(3)x^2-4x y+sqrt(3)y^2=0 is rotated about the...

    Text Solution

    |

  14. If the equation 2x^2+k x y+2y^2=0 represents a pair of real and distin...

    Text Solution

    |

  15. If the equation x^2+(lambda+mu)x y+lambdau y^2+x+muy=0 represents two ...

    Text Solution

    |

  16. If one of the lines of the pair a x^2+2h x y+b y^2=0 bisects the angle...

    Text Solution

    |

  17. Prove that the equation 2x^(2)+5xy+3y^(2)+6x+7y+4=0 respresents a pai...

    Text Solution

    |

  18. A line L passing through the point (2, 1) intersects the curve 4x^2+y^...

    Text Solution

    |

  19. Show that straigh lines (A^(2)-3B^(2))x^(2)+8ABxy+(B^(2)-3A^(2))y^(2)=...

    Text Solution

    |

  20. If one of the lines denoted by the line pair a x^2+2h x y+b y^2=0 bise...

    Text Solution

    |