Home
Class 11
MATHS
The equation of second degree x^2+2sqrt2...

The equation of second degree `x^2+2sqrt2xy+2y^2+4x+4sqrt2y+1=0` represents a pair of straight lines.The distance between them is

A

4

B

`2sqrt3`

C

`4sqrt3`

D

2

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|34 Videos
  • MEAN VALUE THEOREMS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|28 Videos
  • PARABOLA

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

The equation 8x^2 +8xy +2y^2+26x +13y+15=0 represents a pair of straight lines. The distance between them is

The equation ax^(2)+2sqrt(ab)xy+by^(2)+2 gx+2fy+c=0 represents a pair of parallel straight lines, if

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

For what value of lambda does the equation 12x^2-10xy+2y^2+11x-5y+lambda=0 represent a pair of straight lines ? Find their equations and the angle between them.

Prove that the equation 8x^2+8xy+2y^2+26x+13y+15=0 represents a pair of parallel straight lines . Also find the perpendicular distance between them .

Let 0 lt p lt q and a ne 0 such that the equation px^(2) +4 lambda xy +qy^(2) +4a (x+y +1) = 0 represents a pair of straight lines, then a can lie in the interval

The second degree equation x^2+4y^2-2x-4y+2=0 represents

If the equation 3x^(2)+xy-y^(2)-3x+6y+k=0 represents a pair of straight lines, then the value of k, is

The equation x^(2) + y^(2) - 2xy -1 =0 represents :

The value of k for which the equation 2x^2+5y^2-2kxy+4x+6y=0 represent the pair of straight lines is

OBJECTIVE RD SHARMA ENGLISH-PAIR OF STRAIGHT LINES-Chapter Test
  1. If the lines given by ax^(2)+2hxy+by^(2)=0 are equally inclined to the...

    Text Solution

    |

  2. The equation to the striaght lines passing through the origin and maki...

    Text Solution

    |

  3. Prove that the limiting points of the system x^(2)+y^(2)+2gx+c+lamda(x...

    Text Solution

    |

  4. If the area of the triangle formed by the pair of lines 8x^2 - 6xy + y...

    Text Solution

    |

  5. The equation to the pair of straight lines bisecting the angles betwe...

    Text Solution

    |

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

    Text Solution

    |

  7. Show that if two of the lines ax^3+bx^2y+cxy^2+dy^3=0 (a ne 0) make co...

    Text Solution

    |

  8. If the pairs of straight lines ax^2+2hxy-ay^2=0 and bx^2+2gxy-by^2=0 b...

    Text Solution

    |

  9. The equation a^2x^2+2h(a+b)x y+b^2y^2=0 and a x^2+2h x y+b y^2=0 repre...

    Text Solution

    |

  10. If (x^(2))/(a) + (y^(2))/(b) + (2xy)/(h) =0 represent pair of straig...

    Text Solution

    |

  11. If the lines represented by the equation ax^(2)+2hxy+by^(2)+2gx+2fy+c=...

    Text Solution

    |

  12. The distance between the two lines represented by the  sides of an equ...

    Text Solution

    |

  13. The equation of the image of the lines y=|x| in the line mirror x = 2 ...

    Text Solution

    |

  14. If the equation 3x^(2)+xy-y^(2)-3x+6y+k=0 represents a pair of straigh...

    Text Solution

    |

  15. The equation of second degree x^2+2sqrt2xy+2y^2+4x+4sqrt2y+1=0 represe...

    Text Solution

    |

  16. The value of lambda for which the equation x^2-y^2 - x - lambda y - ...

    Text Solution

    |

  17. Distance between the pair of lines represented by the equation x^(2)-6...

    Text Solution

    |

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

    Text Solution

    |