Home
Class 12
MATHS
The area of the triangle formed by the l...

The area of the triangle formed by the lines `x^(2 )+4 x y+y^(2)=0, x+y=1` is

A

`sqrt(3)`

B

2

C

1

D

`(sqrt(3))/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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

Area of the triangle formed by the lines 3 x^(2)-4 x y+y^(2)=0, quad 2 x-y=6 is

The coordinates of the orthocentre of the triangle formed by the lines 2 x^(2)-3 x y+y^(2)=0 and x+y=1 , are

Area of the triangle formed by the lines y^(2)-9xy+18x^(2)=0 and y =a is

The area of the triangle formed by the lines y = x, x = 6, and y = 0 is

The area of the triangle formed by the lines x=0, y=0 and 3 x+4 y=12 is (in square units)

The orthocentre of the triangle formed by the lines x+3 y=10 and 6 x^(2)+x y-y^(2)=0 is

Find the area of the triangle formed by the lines y - x = 0, x + y = 0 " and " x - k = 0 .

Orthocentre of the triangle formed by the lines x+y=1 and x y=0 is

Show that the area of the triangle formed by the lines y = m_(1) x + c_(1) , y = m_(2) x + c_(2) " and " x = 0 " is " ((c_(1) - c_(2))^(2))/(2|m_(1) - m_(2)|)

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

HIMALAYA PUBLICATION-Pair Of Lines-QUESTION BANK
  1. The point of intersection of perpendicular lines a x^(2)+3 x y-2 y^(2)...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. Equation of the separate lines of the pair of lines, whose equation is...

    Text Solution

    |

  19. If the slope of one of the lines gives by ax^(2)+2hxy+by^(2)=0 is 5 ti...

    Text Solution

    |

  20. If ax^(2)-y^(2)+4x-y=0 represents a pair of lines then a ...

    Text Solution

    |