Home
Class 11
MATHS
The equation of second degree x^2 + 2sqr...

The equation of second degree `x^2 + 2sqrt2 xy + 2y^2 + 4x + 4 sqrt2 y + 1 = 0` represents a pair of straight lines, the distance between them is :

Text Solution

Verified by Experts

[2]
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

If k x^2 + 10 xy + 3 y^2 - 15x - 21y + 18 = 0 represents a pair of straight lines. Then the value of k is :

If the equation ax^2 + 2hxy + by^2 + 2gx + 2fy + c = 0 represents a pair of parallel lines, prove that The distance between them is 2sqrt((g^2 - ac)/(a(a + b)))

If the equation 2x^(2)+2hxy +6y^(2) - 4x +5y -6 = 0 represents a pair of straight lines, then the length of intercept on the x-axis cut by the lines is equal to

The equation x^2-3xy+lambda y^2+3x-5y+2=0 where lambda is a real number, represents a pair of straight lines If theta is the angle between the line , then frac(cosec^2theta)(2) is

If x^2-3xy+lambda y^2+3x-5y+2=0 ,represent a pair of straight lines, then the value of lambda is

If lambdax^(2)-10xy+12y^(2)+5x-16y-3=0 , represents a pair of straight lines, then the value of lambda is

The value of lambda so that the equation lambda x^2+2xy+lambday^2+4x+4y+3=0 represent a pair of straight lines is

The equation 8x^2+12y^2-4x + 4y-1=0 represents

x^2-x y+y^2-4x-4y+16=0 represents a. a point b. a circle c. a pair of straight line d. none of these

PATHFINDER-CARTESIAN COORDINATES AND STRAIGHT LINE-QUESTION BANK
  1. Point A is symmetric to B(4,-1) with respect to the bisector of the 1...

    Text Solution

    |

  2. If 'k' is the ordinate of the point P on the line 3x+2y+10=0 such that...

    Text Solution

    |

  3. The equation of second degree x^2 + 2sqrt2 xy + 2y^2 + 4x + 4 sqrt2 y ...

    Text Solution

    |

  4. If x^2-3xy+lambda y^2+3x-5y+2=0,represent a pair of straight lines, th...

    Text Solution

    |

  5. The equation x^2-3xy+lambda y^2+3x-5y+2=0 where lambda is a real numb...

    Text Solution

    |

  6. The pair of straight lines joining the origin to the points of interse...

    Text Solution

    |

  7. If the angle between the pair of straight lines represented by the equ...

    Text Solution

    |

  8. A rectangle PQRS has its side PQ parallel to the line y= mx and verti...

    Text Solution

    |

  9. A straight lines L through the origin meets the lines x+y=1 and x+y=3 ...

    Text Solution

    |

  10. A variable line is at constant distance p from the origin and meets t...

    Text Solution

    |

  11. The line segment joining A(3,0) and B(5,2) is rotated about A is the a...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |