Home
Class 12
MATHS
The slope of a median, drawn from the ve...

The slope of a median, drawn from the vertex A of the triangle ABC is -2. The co-ordinates of vertices B and C are respectively (-1, 3) and (3, 5). If the area of the triangle be 5 square units, then possible distance of vertex A from the origin is/are.

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If two vertices of a triangle are (1,3) and (4,-1) and the area of triangle is 5 sq. units, then the angle at the third vertex lies in :

If two vertices of a triangle are (1,3) and (4,-1) and the area of triangle is 5 sq. units, then the angle at the third vertex lies in :

Let 'l' is the length of median from the vertex A to the side BC of a Delta ABC . Then

The co-ordinates of two vertices of Delta ABC are A(8,-9,8) and B(1,2,3). The medians of the triangle meet at the point (5,-2,4). Find the co-ordinates of the vertex C.

In the given figure, ABC is an equilateral triangle with co-ordinates of B and C as B(-3, 0) and C(3, 0). The co-ordinates of the vertex A are

Two vertices of a triangle are (3, 4, 2) and (1, 3, 3) If the medians of the triangle intersect at (0, 3,-1), then the coordinates of the third vertex of the triangle are

The co-ordinates of the vertices of Delta ABC are A(3, 2), B(1, 4) and C(-1, 0) . Find the length of median drawn from point A.

The co-ordinates of two vertices of Delta ABC are A(-5,7,3) and B(7,-6,-1). The co-ordinates of its centroid are (1,1,1). Find the co-ordinates of vertex C.

In triangle ABC, the co-ordinates of vertices A, B and C are (4, 7), (-2, 3) and (0, 1) respectively. Find the equation of median through vertex A. Also, find the equation of the line through vertex B and parallel to AC.

Two vertices of a triangle are (4,-3) & (-2, 5) . If the orthocentre of the triangle is at (1,2) , find coordinates of the third vertex .

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If (x-2)^2+(y-2)^2=1, then which of the following is true? a.maximum...

    Text Solution

    |

  2. The angle between the lines 2x^2-7x y+3y^2=0 is 1.60^0 2. 45^0 3. ...

    Text Solution

    |

  3. The slope of a median, drawn from the vertex A of the triangle ABC is ...

    Text Solution

    |

  4. Let A(2,-3)and B(-2,1) be the vertices of DeltaABC. If the centroid of...

    Text Solution

    |

  5. If sqrt(alpha1-1)+2sqrt(alpha2-4)+3sqrt(alpha3-9)+4sqrt(alpha4-16)=(al...

    Text Solution

    |

  6. Solution of y dx-x dy+y^2sin xdx=0 is equal to

    Text Solution

    |

  7. The straight line a x+b y+c=0 , where a b c!=0, will pass through the ...

    Text Solution

    |

  8. This equation (x-5)^(11)+(x-5^2)^(11)+(x-5^3)^(11)+(x-5^(11))^(11)=0 h...

    Text Solution

    |

  9. If vec a , vec b , vec c are unit vector, prove that | vec a- vec b|^...

    Text Solution

    |

  10. If the value of [sin(sin^(-1)(0. 5)+sin^(-1)(0. 4))] x [(sin(sin^(-...

    Text Solution

    |

  11. In a battle, 70% of the combantants lost one eye, 80% lost one leg 85%...

    Text Solution

    |

  12. A scientist is weighing each of 30 fishes. Their mean weight worked ou...

    Text Solution

    |

  13. Let P and Q be two statements, then ~(~P^^Q)^^(PvvQ) is logically equi...

    Text Solution

    |

  14. The sum of all the solution(s) of the equation sin^(-1)2x=cos^(-1)x ...

    Text Solution

    |

  15. The number of solutions of the equation sin ((pix )/(2sqrt(3))=x^(2)-...

    Text Solution

    |

  16. Among 10 persons, A, B, C are to speak at a function. The number of...

    Text Solution

    |

  17. The solution for x of the equation int(sqrt(2))^(x)(dt)/(tsqrt(t^(2)-1...

    Text Solution

    |

  18. Let A be a square matrix of order 3 so that sum of elements of each ro...

    Text Solution

    |

  19. Triangle ABC has right angle at B and contains a point P for which ...

    Text Solution

    |

  20. Compute the area of the figure bounded by the straight lines x=0,x=2...

    Text Solution

    |