Home
Class 12
MATHS
Second degree homogeneous equation in x ...

Second degree homogeneous equation in x and y always represents

A

a circle

B

a parabola

C

an ellipse

D

a pair of straight lines

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MHT-CET 2018

    NIKITA PUBLICATION|Exercise MCQ|50 Videos
  • PLANE

    NIKITA PUBLICATION|Exercise MULTIOLE CHOICE QUESTIONS|154 Videos

Similar Questions

Explore conceptually related problems

The equation xy+a^2=a(x+y) represents

A graph of linear equation always represents a :

The equation x^(3)+x^(2)y+x+y=0 represents

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 .

Order and degree of differential equation are always Positive integers

The equation x^(3)+y^(3)=0 represents

Order and degree of differential equation are always …………integers

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

NIKITA PUBLICATION-PAIR OF STRAIGHT LINES-MULTIPLE CHOICE QUESTIONS
  1. Second degree homogeneous equation in x and y always represents

    Text Solution

    |

  2. The condition of representing the coincident lines by the general quad...

    Text Solution

    |

  3. If in the general quadratic equation f(x,y)=0,Delta=0 and h^2=ab, then...

    Text Solution

    |

  4. If m1 and m2 are the slopes of the lines represented by ax^(2)+2hxy+by...

    Text Solution

    |

  5. If m1 and m2 are the slopes of the lines represented by ax^(2)+2hxy+by...

    Text Solution

    |

  6. If theta is the angle between the lines represented by ax^(2)+2hxy+by^...

    Text Solution

    |

  7. The lines represents by ax^2+2hxy+by^2=0 are perpendicular to each oth...

    Text Solution

    |

  8. The product of perpendiculars let fall from the point (x(1),y(1)) upon...

    Text Solution

    |

  9. If ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents parallel straight lines, ...

    Text Solution

    |

  10. If the equation ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents a pair of pa...

    Text Solution

    |

  11. If the equation ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents a pair of pa...

    Text Solution

    |

  12. Lines represented by 4x^(2)+4xy+y^(2)=0 are

    Text Solution

    |

  13. Lines represented by x^(2)-y^(2)=0 are

    Text Solution

    |

  14. Lines represented by x^(2)+7xy+2y^(2)=0 are

    Text Solution

    |

  15. Lines represented by x^(2)+2xy-y^(2)=0 are

    Text Solution

    |

  16. If the lines represented by ax^(2)+4xy+4y^(2)=0 are real distinct, the...

    Text Solution

    |

  17. if lines represented by equation px^(2)-qy^(2)=0 are distinct, then

    Text Solution

    |

  18. Lines represented by px^(2)-qy^(2)=0 are real and coincident, if

    Text Solution

    |

  19. Lines represented by px^(2)-qy^(2)=0 are imaginary, if

    Text Solution

    |

  20. Which of the following equation does not represent a pair of li...

    Text Solution

    |