Home
Class 12
MATHS
Show that a homogeneous equations of deg...

Show that a homogeneous equations of degree two in x and y , i.e., `ax^(2) + 2 hxy + by^(2) = 0` represents a pair of lines passing through the origin if `h^(2) - 2ab ge 0`.

Promotional Banner

Topper's Solved these Questions

  • OCTOBER 2015

    GURUKUL PUBLICATION - MAHARASHTRA PREVIOUS YEAR PAPERS|Exercise SECTION -II|20 Videos

  • OCTOBER 2014

    GURUKUL PUBLICATION - MAHARASHTRA PREVIOUS YEAR PAPERS|Exercise SECTION - II|19 Videos

Similar Questions

Explore conceptually related problems

The equation 4x^(2)+hxy+y^(2)=0 represents a pair of coincident lines through origin, if h=

The equation ax^(2)+2hxy+ay^(2)=0 represents a pair of coincident lines through origin, if

The equation 3x^(2)+2hxy+3y^(2)=0 represents a pair of straight lines passing through the origin. The two lines are

The equation 3x^2+2hxy+3y^2=0 represents a pair of straight lines passing through the origin . The two lines are

If the equation x^(2)+2hxy+2fy+c=0 represents a pair of lines, then

The equation ax^(2)+2hxy+by^(2)=0 represents a pair of perpendicular lines if

The pair of lines ax^(2)+2hxy+by^(2)=0 represents a pair of perpendicular lines then

If the equation ax^(2)+hxy+by^(2)+4gx+6fy+4c=0 represents a pair of lines then

Show that the equation 2x^(2) + xy - y^(2) + x + 4y - 3 = 0 represents a pair of lines.

GURUKUL PUBLICATION - MAHARASHTRA PREVIOUS YEAR PAPERS- OCTOBER 2015-SECTION -II
  1. Show that a homogeneous equations of degree two in x and y , i.e., ax...

    Text Solution

    |

  2. If y=sec^(-1)((sqrt(x-1))/(x+sqrt(x)))+sin^(-1)((x+sqrt(x))/(sqrt(x-1...

    Text Solution

    |

  3. If I=int(-pi//2)^(pi//2)(sin^(4)x)/(sin^(4)x+cos^(4)x)dx, then the val...

    Text Solution

    |

  4. The solution of the differential equation (dy)/(dx)=secx-ytanx is :

    Text Solution

    |

  5. Evaluate : int(1)/(xlogxlog(logx))dx

    Text Solution

    |

  6. Find the area of the parabola y^2=4a xbounded by its latus rectum.

    Text Solution

    |

  7. Find k ,such that the function P(x)={{:(k({:(4),(x):}),,x=0","1"...

    Text Solution

    |

  8. Given X~B(n,p).If E(X)=6 and Var (X) = 4.2, find the value of n.

    Text Solution

    |

  9. Solve the different equation y-x(dy)/(dx)=0.

    Text Solution

    |

  10. Discuss the continuity of the following functions at the points shown ...

    Text Solution

    |

  11. If f'(x)=k(cos x-sinx), f'(0)=3, f((pi)/(2))=15, find f(x)

    Text Solution

    |

  12. cos^(-1)((3cosx-2sinx)/(sqrt(13)))

    Text Solution

    |

  13. Show that int(1)/(x^(2)sqrt(a^(2)+x^(2)))dx=(-1)/(a^(2))(sqrt(a^(2)+x...

    Text Solution

    |

  14. A rectangle has an area of 50 "cm"^(2). Find its dimensions for least ...

    Text Solution

    |

  15. int(-a)^(a)f(x)dx= 2int(0)^(a)f(x)dx, if f is an even function 0, if...

    Text Solution

    |

  16. If y =f(u) is differentiable function of u, and u=g(x) is a differenti...

    Text Solution

    |

  17. Each of the total fice questions in amultiple choice examination has f...

    Text Solution

    |

  18. If f(x)=x^(2)+a, for xge0, f(x)=2sqrt(x^(2)+1)+b,"for"xlt0andf((1)/(2...

    Text Solution

    |

  19. Find the approximate values of : cos(89^(@)30)," given "1^(@)=0.0175...

    Text Solution

    |

  20. Solve the different equation : x+y(dy)/(dx)=sec(x^(2)+y^(2)). Also f...

    Text Solution

    |

  21. Find the expected value ,variance and standard deviation of random var...

    Text Solution

    |