Home
Class 12
MATHS
Orthocentre of the triangle formed by th...

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

A

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

B

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

C

(0,0)

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|306 Videos
  • Definite Integrals and its Application

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|453 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

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

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

Find the centroid of the triangle formed by the line 2x + 3y - 6 = 0, with the coordinate axes.

HIMALAYA PUBLICATION-COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES-QUESTION BANK
  1. Point underline(Q) is symmetric to P(4,-1) with respect to the bisecto...

    Text Solution

    |

  2. The coordinate axes are rotated about the origin O in the counter cloc...

    Text Solution

    |

  3. The area of the quadrilateral formed by two pairs of lines l^(2) x^(2)...

    Text Solution

    |

  4. The transformed equation of x^(2)+6 x y+8 y^(2)=10 when the axes are r...

    Text Solution

    |

  5. The value of k for which the lines 2 x-3 y+k=0,3 x-4 y-13=0,8 x-11 y-3...

    Text Solution

    |

  6. The transformed equation of 3 x^(2)+3 y^(2)+2 x y-2=0 when the coordin...

    Text Solution

    |

  7. The distance of the line 2 x-3 y=4 from the point (1,1) measured paral...

    Text Solution

    |

  8. The base vertices of an isosceles triangle P Q R are Q=(1,3) and R=(-2...

    Text Solution

    |

  9. A ray of light coming from the point (1, 2) is reflected at a point A ...

    Text Solution

    |

  10. The equation of the bisectors of the angles between the linex |x|=|y| ...

    Text Solution

    |

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

    Text Solution

    |

  12. If the points A(1,1), B(-1,-1), C=(-sqrt(3), sqrt(3)) are the vertices...

    Text Solution

    |

  13. The straight lines x+y=0, 3x+y-4=0 and x+3y-4=0 form a triangle, which...

    Text Solution

    |

  14. The lines a x+b y=c, b x+c y=a and c x+a y=b are concurrent, if

    Text Solution

    |

  15. The area enclosed within the curve |x|+|y| = 1 is

    Text Solution

    |

  16. The equation of the bisector of the acute angle between the lines 3 x-...

    Text Solution

    |

  17. Locus of centroid of the triangle whose vertices are (a cos t, a sin ...

    Text Solution

    |

  18. If the foot of the perpendicular from the origin to a line is at the p...

    Text Solution

    |

  19. The distance between the lines 5 x-12 y+65=0 and 5 x-12 y-39=0 is

    Text Solution

    |

  20. One of the possible condition for the three points (a, b),(b, a) and (...

    Text Solution

    |