Home
Class 12
MATHS
The equation 4x^(2)+hxy+y^(2)=0 represen...

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

A

`pm2`

B

`pm16`

C

`pm4`

D

`pm3`

Text Solution

Verified by Experts

The correct Answer is:
C
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 ax^(2)+2hxy+ay^(2)=0 represents a pair of coincident lines through origin, if

If the equation k(x^(2)+y^(2))=8xy represents a pair of coincident lines, If k=

Show that the equation x^(2) - 16xy - 11y^(2) = 0 represents a pair of lines through the origin, each making an angle of 30^(@) with the line x + 2 - 1 = 0

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

If the equation a^(2)x^(2)+bxy^(2)=a(b+c)xy represents a pair of coincident lines, then

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 K(x^(2)+y^(2))=(3x-y)^(2) represents a pair of coincident lines, then k=

If the equation (k+1)x^(2)-6xy+(k-7)y^(2)=0 represents a pair of coincident lines, If k=

NIKITA PUBLICATION-PAIR OF STRAIGHT LINES-MULTIPLE CHOICE QUESTIONS
  1. The joint equation of pair of lines through point (1, 2) and perpendic...

    Text Solution

    |

  2. The equation ax^(2)+2hxy+ay^(2)=0 represents a pair of coincident line...

    Text Solution

    |

  3. The equation 4x^(2)+hxy+y^(2)=0 represents a pair of coincident lines ...

    Text Solution

    |

  4. If the equation k(x^(2)+y^(2))=8xy represents a pair of coincident lin...

    Text Solution

    |

  5. If the equation (k+1)x^(2)-6xy+(k-7)y^(2)=0 represents a pair of coinc...

    Text Solution

    |

  6. If the equation a^(2)x^(2)+bxy^(2)=a(b+c)xy represents a pair of coinc...

    Text Solution

    |

  7. Which of the following pair of straight lines intersect at right angle...

    Text Solution

    |

  8. The equation x^(2)+alphaxy+betay^(2)=0 represents a pair of perpendicu...

    Text Solution

    |

  9. If the equation K(x^(2)+y^(2))=(3x-y)^(2) represents a pair of coincid...

    Text Solution

    |

  10. If the equation (kx+y)^(2)=k(x^(2)+y^(2)) represents a pair of perpend...

    Text Solution

    |

  11. If the lines represented by sin^(2)alpha(x^(2)+y^(2))=((cosalpha)x-(si...

    Text Solution

    |

  12. If ax^(2)+6xy+3y^(2)-10x+10y-6=0 represents a pair of perpendicular li...

    Text Solution

    |

  13. The sum of the slopes of the lines given by x^(2)-7xy+12y^(2)=0 is

    Text Solution

    |

  14. The product of the slopes of the line given by x^(2)-xy-6y^(2)=0 is

    Text Solution

    |

  15. If the sum of the slopes of the lines given by 3x^(2)+kxy-y^(2)=0 is z...

    Text Solution

    |

  16. If the lines represented by 6x^(2)+41xy-7y^(2)=0 makes angle alpha and...

    Text Solution

    |

  17. If the lines represented by ax^(2)-bxy-y^(2)=0 makes angle alpha and b...

    Text Solution

    |

  18. If the lines represented by x^(2)-4xy+y^(2)=0 makes angle alpha and be...

    Text Solution

    |

  19. If the sum of the square of slopes of the lines represented by kx^(2)-...

    Text Solution

    |

  20. If the slope of one of the lines given by kx^(2)+(3k+1)xy+3y^(2)=0 is ...

    Text Solution

    |