Home
Class 12
MATHS
The medians AD and BE of a triangle with...

The medians AD and BE of a triangle with vertices A (0, b), B(0, 0) and C(a, 0) are perpendicular ot each other if :

A

`b=sqrt(2)a`

B

`a=sqrt(-2b)`

C

`b=sqrt(-2a)`

D

`a= pm sqrt(2b)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CARTESIAN SYSTEM OF RECTANGULAR CO-ORDINATES AND STRAIGHT LINES

    MODERN PUBLICATION|Exercise Latest Questions from AIEEE/JEE Examinations|12 Videos

  • CARTESIAN SYSTEM OF RECTANGULAR CO-ORDINATES AND STRAIGHT LINES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Questions from Karnataka CET & COMED)|8 Videos

  • CARTESIAN SYSTEM OF RECTANGULAR CO-ORDINATES AND STRAIGHT LINES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Questions from Karnataka CET & COMED)|8 Videos

  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise RCQ.s Recent Competitive Questions (Questions from Karnataka CET & Comed|6 Videos

  • CIRCLES AND SYSTEMS OF CIRCLES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|12 Videos

Similar Questions

Explore conceptually related problems

The incentre of the triangle with vertices (1, sqrt(3)), (0, 0) and (2, 0) is :

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

Find the coordinates of centroid of the triangle with vertices: (6, 2), (0, 0) and (4, -7)

Orthocentre of triangle whose vertices are (0, 0), (3, 4), (4, 0) is :

Find the coordinates of centroid of the triangle with vertices: (1, -1), (0, 6) and (-3, 0)

Find the lengths of the medians of the triangle with vertices A(0,06) ,B(0,4,0) and (6,0,0)

The area of triangle with vertices (K, 0), (4,0), (0, 2) is 4 square units, then value of K is

Prove that the diagonals of a rectangle with vertices (0,0) ,(a,0),(a,b) and (0,b) bisect each other and are equal .

MODERN PUBLICATION-CARTESIAN SYSTEM OF RECTANGULAR CO-ORDINATES AND STRAIGHT LINES -Multiple Choice Questions (LEVEL-II)
  1. Area of the triangle with vertices (a, b) (x(1), y(1)) and (x(2), y(2)...

    Text Solution

    |

  2. The medians AD and BE of a triangle with vertices A (0, b), B(0, 0) an...

    Text Solution

    |

  3. The points (0, 8//3), (1, 3) and (82, 30) are vertices of :

    Text Solution

    |

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

    Text Solution

    |

  5. The equations of the sides of a triangle are : x+y-5=0, x-y+1=0 and ...

    Text Solution

    |

  6. The slope of the line, which is drawn through the point (1, 2) so that...

    Text Solution

    |

  7. The lines y=mx, y+2x=0, y=2x+k and y+mx=k form a rhombus if m is equal...

    Text Solution

    |

  8. The equations to a pair of opposite sides of a parallelogram are x^(2)...

    Text Solution

    |

  9. The equation of a straight line passing through the point (-5, 4) and ...

    Text Solution

    |

  10. If x(1), x(2), x(3) as well as y(1), y(2), y(3) are in G.P. with the s...

    Text Solution

    |

  11. Let PQR be a right-angled isosceles triangle right-angled at P(2, 1). ...

    Text Solution

    |

  12. If the quadrilateral formed by the lines ax+by+cz=0, ax+b'y+c=0, a'x+...

    Text Solution

    |

  13. If two vertices of a triangle are (5, -1) and (-2, 3) and if orthocent...

    Text Solution

    |

  14. If the points (1, 2) and (3, 4) were to be on the same side of the lin...

    Text Solution

    |

  15. A straight rod of length 9 units slides with its ends A, B always on t...

    Text Solution

    |

  16. The vertices of a triangle are (6, 0), (0, 6) and (6, 6). The distance...

    Text Solution

    |

  17. A (1, 3) and C(7, 5) are two opposite vertices of a square. The equati...

    Text Solution

    |

  18. The diagonals of a parallelogram PQRS are along the line x+3y=4 and 6x...

    Text Solution

    |

  19. Let n be the number of points having rational co-ordinates equidistant...

    Text Solution

    |

  20. If the vertices of an equilateral triangle have rational co-ordinates...

    Text Solution

    |