Home
Class 11
MATHS
Two sides of a triangle are y=m(1)x and ...

Two sides of a triangle are `y=m_(1)x` and `y=m_(2)x,m_(1),m_(2)` are the roots of the equation `x^(2)+ax-1=0`. For all values of a the orthocentre of the triangle lies at

A

(1,1)

B

(2,2)

C

`(3/2,3/2)`

D

`(0,0)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|102 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE-I Problems on slopes, Equation of line intercepts of a lines, Areas)(Straight Objective Type Question)|30 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise EXERCISE I|57 Videos

  • REVISION EXERCISE

    AAKASH SERIES|Exercise PROPERTIES OF TRIANGLES|57 Videos

  • TANGENT AND NORMAL

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|48 Videos

Similar Questions

Explore conceptually related problems

If m_1,m_2 " are the roots of the equation " x^2-ax-a-1=0 , then the area of the triangle formed by the three straight line y=m_1,x,y=m_2x and y=a(ane -1) is

Two sides of a triangle are given by the roots of the equation x^2-5x+6=0 and the angle between the sides is pi//2 . Then the perimeter of the triangle is

Two sides of a triangle are 2x+y=0 and x-y+2= 0. If its orthocentre is (2,3), the third side is 8x+5y-10=0 .

If two sides of a triangle are the roots of the equation 4x^2-(2sqrt6)x+1=0 and the included angle is 60^@ , then the third side is

If the equation x ^(2) - 15 - m ( 2x-8) =0 has equal roots, find the value of 'm'.

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 roots of (3m +1) x^2 +2(m+1) x+m =0 are equal then m=

AAKASH SERIES-STRAIGHT LINES-EXERCISE -II
  1. The incentre of the triangle formed by the lines x+y=1,x=1,y=1 is

    Text Solution

    |

  2. The centre of the triangle formed by the lines 4x+3y+10=0,5x-12y+26=0,...

    Text Solution

    |

  3. Two sides of a triangle are y=m(1)x and y=m(2)x,m(1),m(2) are the root...

    Text Solution

    |

  4. The orthocentre of triangle formed by (a cos alpha, a sin alpha),(a co...

    Text Solution

    |

  5. The equation of the a straight line passing through the points (1,2) a...

    Text Solution

    |

  6. A straight line passing through origin and inclined at 60^(@) to the l...

    Text Solution

    |

  7. The vertices of a trianvle are A(-1,-7),B(5,1) and C(1,4). The equatio...

    Text Solution

    |

  8. Two equal sides of isosceles triangle are given by equation 7x-y+3=0 a...

    Text Solution

    |

  9. The nearest point on the line 2x-y+5=0 from the origin is

    Text Solution

    |

  10. Suppose A,B are two points on 2x-y+3=0 and P(1,2) is such that PA=PB. ...

    Text Solution

    |

  11. If 2x+3y=5 is the perpendicular bisector of the line segment joining t...

    Text Solution

    |

  12. If the foot of the line perpendicular from (-4,5) to the straight line...

    Text Solution

    |

  13. The points A(1,2),B(3,-4) are two vertices of the rectangle ABCD. The ...

    Text Solution

    |

  14. If 2x+3y+4=0 is the perpenedicular bisector of the segment joining the...

    Text Solution

    |

  15. The equations of perpendicular bisectors of sides AB, BC of Delta ABC ...

    Text Solution

    |

  16. The vertex of a equilateral triangle is at (2,-1) and the side opposit...

    Text Solution

    |

  17. The locus of feet of perpendiculars drawn from origin to the straight ...

    Text Solution

    |

  18. The number of points P(x, y) with natural numbers as coordinates that ...

    Text Solution

    |

  19. The point on the line 3x+4y=5 which is equidistant from (1, 2) and (3,...

    Text Solution

    |

  20. The figure formed by the lines 2x-5y+4=0, 5x+2y+7=0, 2x-5y+3=0, 5x+2y-...

    Text Solution

    |