Home
Class 11
MATHS
If x^(2)-3xy+2y^(2)=0 represents two sid...

If `x^(2)-3xy+2y^(2)=0` represents two sides of triangle and orthocentre is (2,1) then equation of third side is

A

`x+2y=5`

B

`2x+y=5`

C

`2x+y+5=0`

D

`2x+y=6`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|85 Videos

  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE-I Homogeneous pair of lines) (Straight Objective Type Questions)|64 Videos

  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise EXERCISE -I|50 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

2x^(2)-5xy+2y^(2)=0 represents two sides of a triangle whose centroid is (2, 3) then area of triangle is

If 8x^(2)-14xy+5y^(2)=0 represents two sides of a triangle and centriod of the triangle is (2, 2) then midpoint of third side is

If 2x^(2)-3xy+y^(2)=0 represents two sides of a triangle and lx + my + n = 0 is the third side then locus of incentre of the triangle is

If two sides of a triangle lie along 3x^(2)-xy-2y^(2)=0 and its orthocentre is (2,1) then equation to third side is

If the equation x^(3)+ax^(2)y+bxy^(2)+y^(3)=0 represents three lines two of which are perpendicular then equation of third line is

If 2x^(2)-5xy+2y^(2)=0 represents two equal sides of an isosceles triangle and the third side passes through (3,1) then equation of third side is

If 2x^(2)+3xy-2y^(2)=0 represents two sides of a parallelogram and 3x+y+1=0 is one of its diagonals, then the other diagonal is

If 2x^(2)-5xy+3y^(2)=0 represents two adjacent sides of a parallelogram and x+y+2=0 is equation of one of diagonal then other diagonal is

The roots of x^(2) - 2 sqrt 3 x+ 2=0 represent two sides of a triangle . If the angle between them is (pi)/(3) , then the perimeter of the triangles is

AAKASH SERIES-PAIR OF STRAIGHT LINES-EXERCISE -II
  1. The orthocentre of the triangle formed by the lines x+3y-10 and 6x^(2)...

    Text Solution

    |

  2. the orthocentre of the triangle formed by the lines x+y = 1 and 2y^(2)...

    Text Solution

    |

  3. If x^(2)-3xy+2y^(2)=0 represents two sides of triangle and orthocentre...

    Text Solution

    |

  4. The circumcentre of triangle formed by lines 2x^(2)-3xy-2y^(2)=0 and 3...

    Text Solution

    |

  5. The circumcentre of triangle formed by lines xy + 2x + 2y + 4 = 0 and ...

    Text Solution

    |

  6. The orthocentre of triangle formed by lines xy+3x+3y+9 = 0 and the lin...

    Text Solution

    |

  7. Orthocentre of triangle of which two sides are formed by lines 6x^(2)-...

    Text Solution

    |

  8. The lines represented by the equation x^(2)-y^(2)-x+3y-2=0 are

    Text Solution

    |

  9. Find the value of lambda for which the equation lambdax^(2) - 10xy + 1...

    Text Solution

    |

  10. The value of lambda such that 2x^(2)-10xy+12y^(2)+5x+lambda y-3=0 repr...

    Text Solution

    |

  11. If x^(2)+alpha y^(2)+2betay=a^(2) a represents a pair of perpendicula...

    Text Solution

    |

  12. The point of intersection of the perpendiecular lines ax^(2)+3xy-2y^(2...

    Text Solution

    |

  13. If the equation lambda x^(2)-5xy+6y^(2)+x-3y=0 represents a pair of st...

    Text Solution

    |

  14. The equation of the line concurrent with the pair of lines 2x^(2)+3xy-...

    Text Solution

    |

  15. If the lines x^(2)+2xy-35y^(2)-4x+44y-12=0 and 5x+lambday-8=0 ae concu...

    Text Solution

    |

  16. If the equation x^(2)+py^(2)+y=a^(2) represents a pair of perpendicula...

    Text Solution

    |

  17. Assertion (A) , The lines representant by 3x^(2)+10xy+3y^(2)-16x-16y+1...

    Text Solution

    |

  18. If theta is angle between pair of lines x^(2)-3xy+lambday^(2)+3x-5y+2=...

    Text Solution

    |

  19. If theta is angle between pair of lines x^(2)-5xy+py^(2)+3x-8y+2=0 the...

    Text Solution

    |

  20. The equation ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents a pair of strai...

    Text Solution

    |