Home
Class 12
MATHS
The four lines given by the equations 12...

The four lines given by the equations `12 x^(2)+7 x y-12 y^(2)=0` and `12 x^(2)+7 x y-12 y^(2)-x+7 y-1=0` lie along the sides of a

A

square

B

parallelogram

C

rectangle

D

rhombus

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MEASUREMENT OF ANGLES, TRIGONOMETRIC RATIOS AND RELATION BETWEEN SIDES AND ANGLES OF A TRIANGLE

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|251 Videos
  • PARABOLA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|233 Videos

Similar Questions

Explore conceptually related problems

The lines given by x^(2)+2 x y-35 y^(2)-4 x+44 y-12=0 and the line 5 x+2 y-8=0 are

Find the roots of the quadratic equation x^(2)+7x+12=0

The centroid of the triangle formed by the pair of lines 12 x^(2)-20 x y+7 y^(2)=0 and the line 2 x-3 y+4=0 is

If 2x^(2)+2y^(2) +4x+5y+1=0 and 3x^(2)+3y^(2)+6x -7y+3k=0 are orthogonal ,then value of k is

The equation 9 x^(2)+24 x y+b^2 y^(2)-12 x+16 y-12=0 represents a pair of parallel lines then b=

Given the four lines with equations x+2y-3=0, 3x+4y-7=0, 2x+3y-4=0 and 4x+5y-6=0 , then:

The angle between the pari of lines represented by x^(2)-7xy+12y^(2)=0 is :

Centroid of the triangle formed by the sides y-1 =0 and x^(2)+7xy+2y^(2)=0 is

Solve the equation sqrt(x^(2)+12y)+ sqrt(y^(2)+12x)=33,x+y=23.

The two curves y^(2) = 4x and x^(2)+y^(2)-6x +1 =0 at the point (1,2)

HIMALAYA PUBLICATION-Pair Of Lines-QUESTION BANK
  1. The four lines given by y^(2)-4 y+3=0 and x^(2)+4 x y+4 y^(2)-5 y-10 y...

    Text Solution

    |

  2. The four lines given by 3 x^(2)+10 x y+3 y^(2)=0 and 3 x^(2)+10 x y+3 ...

    Text Solution

    |

  3. The four lines given by the equations 12 x^(2)+7 x y-12 y^(2)=0 and 12...

    Text Solution

    |

  4. The point of intersection of perpendicular lines a x^(2)+3 x y-2 y^(2)...

    Text Solution

    |

  5. The coordinates of the orthocentre of the triangle formed by the lines...

    Text Solution

    |

  6. The area of the triangle formed by the lines x^(2 )+4 x y+y^(2)=0, x+y...

    Text Solution

    |

  7. The condition that the slope of one the lines of a x^(2)+2 h x y+b y^...

    Text Solution

    |

  8. The acute angle between the lines x^(2)-2 x y sec alpha+y^(2)=0 is

    Text Solution

    |

  9. Condition that a pair of lines are at right angle is

    Text Solution

    |

  10. If x^(2)-k x y-y^(2)+2 y+2=0 represents a pair of lines than the valu...

    Text Solution

    |

  11. The angle between the lines x^(2)+4 x y-y^(2)=0 is

    Text Solution

    |

  12. Acute angle between the lines y^(2)-2 sqrt(3) x y+3 x^(2)=0 is

    Text Solution

    |

  13. If x^(2)+k y^(2)+x-y=0 represents a pair of lines then k=

    Text Solution

    |

  14. Angle between the lines sqrt(3)(x^(2)+y^(2))-4 x y=0 is

    Text Solution

    |

  15. Angle between the lines x^(2)+sqrt(17) x y+2 y^(2)=0 is

    Text Solution

    |

  16. If k x^(2)-y^(2)+2 x-y=0 represents a pair of lines, then k=

    Text Solution

    |

  17. The joint equation of the straight lines x + y = 1 and x - y = 4 is

    Text Solution

    |

  18. The combined equation of y -axis and the line x-1=0 is

    Text Solution

    |

  19. The sum of the slopes of the lines represented by 4x^(2)+2hxy-7y^(2)=0...

    Text Solution

    |

  20. If the equation x^(2)+y^(2)+2gx+2fy+1=0 represents a pair of lines t...

    Text Solution

    |