Home
Class 11
MATHS
The value k for which 4x^(2)+8xy+ky^(2)=...

The value k for which `4x^(2)+8xy+ky^(2)=9` is the equation of a pair of straight lines is _________.

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    CENGAGE PUBLICATION|Exercise All Questions|507 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|986 Videos

Similar Questions

Explore conceptually related problems

The value k for which 4x^2+8x y+k y^2=9 is the equation of a pair of straight lines is__________

The value of lambda with |lambda| lt 16 such that 2x^(2) - 10xy +12y^(2) +5x +lambda y - 3 = 0 represents a pair of straight lines is

Find the value of lambdaif2x^2+7x y+3y^2+8x+14 y+lambda=0 represent a pair of straight lines.

Find the value of k for which the equations 2x+5y=8 and 2x-ky=3 will have no solution.

The angle between the two straight line of a pair of straight line x^2 - y^2 - 2y - 1 = 0 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

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

If x=9 is the chord of contact of the hyperbola x^2-y^2=9 then the equation of the corresponding pair of tangents is (A) 9x^2-8y^2+18x-9=0 (B) 9x^2-8y^2-18x+9=0 (C) 9x^2-8y^2-18x-9=0 (D) 9x^2-8y^2+18x+9=0

Equation x^(2) +k_(1)y^(2) +2k_(2)y = a^(2) represents a pair of perpendicular straight lines if

CENGAGE PUBLICATION-STRAIGHT LINES-All Questions
  1. If the slope of one line is double the slope of another line and the c...

    Text Solution

    |

  2. Find the combined equation of the pair of lines through the point (1,0...

    Text Solution

    |

  3. The value k for which 4x^(2)+8xy+ky^(2)=9 is the equation of a pair of...

    Text Solution

    |

  4. The two lines represented by 3ax^(2)+5xy+(a^(2)-2)y^(2)=0 are perpendi...

    Text Solution

    |

  5. If two lines represented by x^4+x^3y+c x^2y^2-x y^3+y^4=0 bisector of ...

    Text Solution

    |

  6. The straight lines represented by x^2+m x y-2y^2+3y-1=0 meet at (a) (-...

    Text Solution

    |

  7. The straight lines represented by the equation 135 x^2-136 x y+33 y^2=...

    Text Solution

    |

  8. If one of the lines of my^(2)+(1-m^(2))xy-mx^(2)=0 is a bisector of th...

    Text Solution

    |

  9. Statement 1 : If -2h=a+b , then one line of the pair of lines a x^2+...

    Text Solution

    |

  10. Show that all chords of the curve 3x^(2)-y^(2)-2x+4y=0, which subtend...

    Text Solution

    |

  11. The distance between the lines (x+7y)^(2)+4sqrt(7)(x+7y)-42=0 is .

    Text Solution

    |

  12. x+y=7andax^(2)+2hxy+ay^(2)=0,(ane0), are three real distinct lines for...

    Text Solution

    |

  13. If the slope of one of the lines represented by ax^(2)+2hxy+by^(2)=0 ...

    Text Solution

    |

  14. int{(2 - 3sinx)/cos^2x} dx

    Text Solution

    |

  15. The sides of a triangle have the combined equation x^2-3y^2-2x y+8y-4=...

    Text Solution

    |

  16. Let PQR be a right - angled isosceles triangle , right angled at P(2,1...

    Text Solution

    |

  17. The combined equation of three sides of a triangle is (x^2-y^2)(2x+3y-...

    Text Solution

    |

  18. Find the equation of the bisectors of the angles between the lines j...

    Text Solution

    |

  19. If theta is the angle between the lines givne by the equation 6x^(2)...

    Text Solution

    |

  20. The dis tance of a point (x(1),y(1)) from each of the two straight li...

    Text Solution

    |