Home
Class 12
MATHS
The four lines 6x^(2) – 5xy - 6y^(2) + x...

The four lines `6x^(2) – 5xy - 6y^(2) + x+5y–1=0` and `6x^(2) – 5xy -6y^(2) = 0`, form a

A

parallelogram

B

rhombus

C

rectangle

D

square

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|53 Videos
  • STATISTICS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|40 Videos
  • THREE DIMENSIONAL GEOMETRY

    NEW JOYTHI PUBLICATION|Exercise Objective|36 Videos

Similar Questions

Explore conceptually related problems

Factories the following : 6x^(2) + 16xy + 8y^(2)

If f(x,y) = 2x^(2) - 3xy + 5y^(2) +7 , then f(0,0) and f(1,1) is

Subtract 5x^(2) -4y^(2) +6y -3 from 7x^(2) -4xy +5y^(2) +5x -3y

If one of the lines given by 6x^(2) - xy + 4cy^(2) = 0  is 3x + 4y = 0 then c equals

A circle touching the line x +y - 2 = 0 at (1,1) and cuts the circle x^(2) +y^(2) +4x +5y - 6 = 0 at P and Q. Then

A pair of perpendicular straight lines is drawn through the origin forming with the line 2x+3y=6 an isosceles triangle right-angled at the origin. The equation to the line pair is a. 5x^2-24 x y-5y^2=0 b. 5x^2-26 x y-5y^2=0 c. 5x^2+24 x y-5y^2=0 d. 5x^2+26 x y-5y^2=0

The equation x^(2)y^(2)-9y^(2)-6x^(2)y+54y=0 represents

The minimum radius of the circle which contains the three circles, x^(2)+y^(2)-4y-5=0,x^(2)+y^(2)+12x+4y+31=0 and x^(2)+y^(2)+6x+12y+36=0 is

NEW JOYTHI PUBLICATION-STRAIGHT LINES-QUESTIONS FROM COMPETITIVE EXAMS
  1. The product of the perpendiculars from (-1,2) to the pair of lines ...

    Text Solution

    |

  2. The distance between the pair of parallel lines x^(2) + 4xy + 4y^(2) ...

    Text Solution

    |

  3. The four lines 6x^(2) – 5xy - 6y^(2) + x+5y–1=0 and 6x^(2) – 5xy -6y^...

    Text Solution

    |

  4. The foot of perpendicular from (-2, 3) to the line 2x - y - 3 = 0 is

    Text Solution

    |

  5. If the lines x - y - 1 = 0, 4x + 3y = k and 2x – 3y +1 = 0 are concur...

    Text Solution

    |

  6. The centroid of a triangle formed by the points (0,0), (cos theta, si...

    Text Solution

    |

  7. The orthocentre of the triangle formed by (8,0) and (4, 6) with the o...

    Text Solution

    |

  8. If xy - 4x + 3y - lambda=0 represents the asymptotes of xy - 4x + 3y ...

    Text Solution

    |

  9. The inclination of the straight line passing through the point (-3, 6...

    Text Solution

    |

  10. A point moves such that the area of the triangle formed by it with th...

    Text Solution

    |

  11. The line (x)/(a)-(y)/(b) =1 cuts the x-axis at P. The equation of t...

    Text Solution

    |

  12. The value of lambda for which the lines 3x + 4y=5, 2x+3y=4 and lambda...

    Text Solution

    |

  13. The orthocentre of the triangle whose vertices are (5,-2), (-1, 2) an...

    Text Solution

    |

  14. Distance between the lines 5x + 3y-7 = 0 and 15x +9y + 14 = 0 is

    Text Solution

    |

  15. If the equation 2x^(2) + 7xy+3y^(2) - 9x - 7y+k=0 represents a pair o...

    Text Solution

    |

  16. The angle between the lines 2x - y+3 = 0 and x + 2y + 3 = 0 is

    Text Solution

    |

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

    Text Solution

    |

  18. The centroid of a triangle is (2,7) and two of its vertices are (4, 8...

    Text Solution

    |

  19. The points (1, 1), (-5,5) and (13, lambda) lie on the same straight l...

    Text Solution

    |

  20. If the lines 3x + 4y+ 1 = 0, 5x +lambda y + 3 = 0 and 2x + y-1 = 0 a...

    Text Solution

    |