Home
Class 12
MATHS
The coordinates of the orthocentre of th...

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

A

`((1)/(4), (1)/(4))`

B

(1,1)

C

`((1)/(2), (1)/(2))`

D

`((1)/(3), (1)/(3))`

Text Solution

Verified by Experts

The correct Answer is:
B
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

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

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

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

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

Orthocentre of the triangle formed by the lines x+y+1=0 and 2 x^(2)-x y-y^(2)+x+2 y-1=0 is

The incentre of the triangle formed by the lines x+y=1, x=1, y=1 is

Circumcentre of the triangle formed by the lines xy+2x+2y+4=0 and x+y+2=0 is

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

Orthocentre of the triangle formed by the lines x+y+1=0 and 2x^(2)+y^(2)+x+2y-1=0 is

HIMALAYA PUBLICATION-Pair Of Lines-QUESTION BANK
  1. The four lines given by the equations 12 x^(2)+7 x y-12 y^(2)=0 and 12...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |