Home
Class 11
MATHS
Find the set of values of lambda, for wh...

Find the set of values of `lambda`, for which the point `(sqrt(4-lambda^2),lambda)` lies outside the triangle formed by the lines `(y-3)^2=3x^2` and `y+sqrt3=0`

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

Find the range of values of lambda for which the point (lambda,-1) is exterior to both the parabolas y^2=|x|dot

The triangle formed by the line x+sqrt3y=0, x- sqrt3y=0 and x=4 is-

The complete set of real values of 'a' such that the point lies triangle p(a, sin a) lies inside the triangle formed by the lines x-2y +2= 0; x+y=0 and x-y-pi=0

The orthocentre of the triangle formed by the lines x+y=1,2x+3y=6 and 4x-y+4=0 lies in

Find the value of lambda for which the lines 3x+4y=5,5x+4y=4 and lambda x+4y=6 meet at a point.

Find the angle between the lines y-sqrt3 x - 5 = 0 and sqrt3 y -x + 6 = 0

the value of lambda for which the line 2x-8/3lambday=-3 is a normal to the conic x^2+y^2/4=1 is:

If (alpha^2,alpha) lies inside the triangle bounded by the lines x-5y+6=0,x-3y+2=0and x-2y-3=0 then find the value of alpha

Find the locus of image of the variable point (lambda^(2), 2 lambda) in the line mirror x-y+1=0, where lambda is a parameter.

If the slope of the line joining the points (3lambda,4) and (4,-3lambda) be -3 then the value of lambda is

PATHFINDER-CARTESIAN COORDINATES AND STRAIGHT LINE-QUESTION BANK
  1. A straight line L with negative slope passes through the point (8,2) a...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |