Home
Class 11
MATHS
The medians AD and BE of the triangle wi...

The medians AD and BE of the triangle with vertices A(0, b), B(0, 0) and C(a, 0) are mutually perpendicular if

A

`b = sqrt2a`

B

`a = sqrt2a`

C

`b = -sqrt2a`

D

`a = 5sqrt2b`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE-I Problems on slopes, Equation of line intercepts of a lines, Areas) (More than one correct answer Type Question)|1 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise LECTURE SHEET(EXERCISE-I Problems on slopes, Equation of line intercepts of a lines, Areas)(Linked comprehension Type Question)|1 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|102 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

Find the area of the triangle whose vertices are (0, 0), (3, 0) and (0, 2)

The perimeter of the triangle with vertices at (1, 0,0 ), (0,1,0 ) and (0,0,1 ) is :

Find the circumcentre of the triangle whose vertices are A(1,0),B(-1,2) and C(3,2)

Find the incentre of the Delta^(l e) with the vertices (1,sqrt3) ,(0,0) and (2,0)

Area of the triangle by the points A(0, 0), B(1, 0) and C(0, 1) is ……… sq. units ………..

AAKASH SERIES-STRAIGHT LINES-LECTURE SHEET (EXERCISE-I Problems on slopes, Equation of line intercepts of a lines, Areas)(Straight Objective Type Question)
  1. The medians AD and BE of the triangle with vertices A(0, b), B(0, 0) a...

    Text Solution

    |

  2. The lines p(p^(2)+1)x-y+q=0 and (p^(2)+1)^(2)x+(p^(2)+1)y+2q=0 are per...

    Text Solution

    |

  3. Let PS be the median of the triangle with vertices P(2, 2), Q(6, -1) a...

    Text Solution

    |

  4. The line joining two points A(2,0), B(3,1) is rotated about A in antic...

    Text Solution

    |

  5. A ray of light along x+sqrt(3)y=sqrt(3) gets reflected upon reaching x...

    Text Solution

    |

  6. The perpendicular bisector of the line segment joining P(1, 4) and Q(k...

    Text Solution

    |

  7. The number of integral points (integral point means both the coordinat...

    Text Solution

    |

  8. The sum of the intercepts cut off by the axes on line x+y=a, x+y =ar,...

    Text Solution

    |

  9. A stick of length I rests against the floor and a wall of a room. If t...

    Text Solution

    |

  10. The equation of the straight line passing through the point (4, 3) and...

    Text Solution

    |

  11. The ends of a rod of length l move on two mutually perpendicu...

    Text Solution

    |

  12. A line passing through (3,4) meets the axes bar(OX) and bar(OY) at A a...

    Text Solution

    |

  13. The locus of the midpoint of the portion between the axes of xcosalpha...

    Text Solution

    |

  14. A staight line through the point A(3,4) is such that its intercept bet...

    Text Solution

    |

  15. A line is drawn through the point (1,2) to meet the coordinate axes at...

    Text Solution

    |

  16. A variable line x//a+y//b = 1 moves in such a way that the harmonic me...

    Text Solution

    |

  17. Let O(0,0), P(3,4), Q(6,0) be the vertices of the triangle OPQ. The po...

    Text Solution

    |

  18. Two medians drawn from the acute acute angles of a right-angled triang...

    Text Solution

    |

  19. The equation of the diangonal OB of the rectangle given in the diagram...

    Text Solution

    |

  20. Let A be any point on the x-axis and B=(2,3). The perpendicular at A t...

    Text Solution

    |