Home
Class 11
MATHS
If the equation 2hxy+2gx+2fy+c=0 represe...

If the equation `2hxy+2gx+2fy+c=0` represents two straight lines and form a rectangle with coordinate axes then its area is (sq.u)

A

`(absf)/g^2`

B

`(abs(fh))/(g^(2))`

C

`(abs(fg))/(h^(2))`

D

`(abs(gh))/(f^(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-1 Homogeneous pair of line) (LEVEL-I Straight Objective Type Questions)|55 Videos
  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise EXAMPLE|7 Videos
  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|85 Videos
  • MULTIPLE PRODUCT OF VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|62 Videos
  • PERIODICITY AND EXTEME VALUES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE) LEVEL-I(MAIN) Extreme values ( Single answer type questions )|23 Videos

Similar Questions

Explore conceptually related problems

If the equation 2hxy + 2gx + 2fy + c = 0 represents two straight lines, show that they form a rectangle of area (|fg|)/(h^2) with the co-ordinate axes.

If the equation 2xy + gx + fy + 5 = 0 repre sents a pair of lines, then fg=

If the eqaution ax^(2)+2hxy +by^(2) +2g x +2fy+c=0 represents a pair of straigtht lines, then the square of the distance of their point of intersection from the origin is

If the equation ax^2+2hxy+by^2+2gx+2fy+c=0 represents a pair of lines, then show that the square of the distance of their point of intersection from the origin is (c(a+b)-f^2-g^2)/(ab-h^2) . Also show that the square of this distance is (f^2+g^2)/(h^2+b^2) if the given lines are perpendicular.

If the pair of line 2hxy+2gx+2fy+c=0 and the coordinate axes form a rectangle, then the equation of its diagonals are

AAKASH SERIES-PAIR OF STRAIGHT LINES-LECTURE SHEET (EXERCISE-I Homogeneous pair of lines) (Straight Objective Type Questions)
  1. The circumcentre of triangle formed by lines xy + 2x + 2y + 4 = 0 and ...

    Text Solution

    |

  2. If 3x^(2)-11xy+10y^(2)-7x+13y+k=0 denotes a pair of straight lines, t...

    Text Solution

    |

  3. The figure formed by the pairs of lines 2x^(2)+3xy-2y^(2)=0 and 2x^(2)...

    Text Solution

    |

  4. If the pair of line 2hxy+2gx+2fy+c=0 and the coordinate axes form a re...

    Text Solution

    |

  5. The equation to a pair of oppite sides of parallelogram are x^2-sx+6=0...

    Text Solution

    |

  6. The straight lines represented by (y-mx)^2=a^2(1+m^2) and (y-nx)^2 =a^...

    Text Solution

    |

  7. If the equation 2hxy+2gx+2fy+c=0 represents two straight lines and for...

    Text Solution

    |

  8. The distance between the parallel lines given by (x+7y)^(2) +4sqrt(2)(...

    Text Solution

    |

  9. The condition for the equation x^2(lambda+mu)xy+lambdamuy^2+x+muy=0 to...

    Text Solution

    |

  10. Value of 'K' so that equation 16x^2+24xy+ly^2+kx--12y-21=0. Represents...

    Text Solution

    |

  11. Show that the following equations represents a pair of parallel lines ...

    Text Solution

    |

  12. The angle between the lines joining the origin to the point of interse...

    Text Solution

    |

  13. A pair of perpendicular straight lines passes through the origin and a...

    Text Solution

    |

  14. Show that the lines joining the origin to the two points of intersecti...

    Text Solution

    |

  15. Let PQR be right angled isoscles triangle right angled at P (2,1). If ...

    Text Solution

    |

  16. All chords of a curve 3x^(2)-y^(2)-2x+4y=0 which subtends a right angl...

    Text Solution

    |

  17. If the line y=sqrt3x " cuts the curve " x^3+y^3+3xy+5x^2+3y^2+4x+5y-1=...

    Text Solution

    |

  18. The line x+y=1 meets the lines represented by equation y^2-6cy^2+11x^2...

    Text Solution

    |

  19. If x/a+y/b=1 " intersects " 5x^2+5y^2+5bx+5ay-9ab=0 at P and Q, angleP...

    Text Solution

    |

  20. If the lines represented by the equation 3y^2-x^2+2sqrt3x-3=0 are rota...

    Text Solution

    |