Home
Class 10
MATHS
Four points A(6,\ 3),\ \ B(-3,\ 5),\ ...

Four points `A(6,\ 3),\ \ B(-3,\ 5),\ \ C(4,\ -2)` and `D(x ,\ 3x)` are given in such a way that `( D B C)/( A B C)=1/2` , find `x` .

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • CONSTRUCTIONS

    RD SHARMA ENGLISH|Exercise All Questions|32 Videos

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    RD SHARMA ENGLISH|Exercise All Questions|391 Videos

Similar Questions

Explore conceptually related problems

Four points A(6,\ 3),\ \ B(-3,\ 5),\ \ C(4,\ -2) and D(x ,\ 2x) are given in such a way that area of ( D B C)/( A B C)=1/2 , find x .

Four points A(6,3),\ B(-3,5),\ C(4,-2)a n d\ D(x ,3x) are given in such a way that ( Delta D B C)/( Delta A B C)=1/2 ,find x

Four points A(6,3),B(-3,5),C(4,-2) and D(x ,2x) are given in such a way that ((A r e aofD B C))/((A r e aofA B C))=1/2dot

If points A(5,\ p),\ \ B(1,\ 5),\ \ C(2,\ 1) and D(6,\ 2) form a square A B C D , then p= (a) 7 (b) 3 (c) 6 (d) 8

The coordinates of points A,B,C and D are (-3, 5), (4, -2), (x, 3x) and (6, 3) respectively and Area of (Delta ABC)/(Delta BCD)=(2)/(3) ,find x.

A\ (6,3),\ B(-3,5),\ C(4,-2)\ a n d\ D(x ,3x) are four points. If Delta' D B C :'Delta'A B C=1:2, then x is equal to a. 11/8 b. 8/11 c. 3 d. none of these

Find x such that the four points A\ (3,\ 2,\ 1) , B(4, x ,\ 5) , C\ (4,\ 2,\ 2) and D\ (6,\ 5,\ 1) are coplanar

If the points A(1,3) , B(-2,1) , C(x,2) and D(-1,5) are given and AB is perpendicular to CD , find the value of x .

In a A B C , D and E are points on the sides A B and A C respectively such that D E// B C If A D=4 , A E=8 , D B=x-4 , and E C=3x-19 , find x .

In a A B C , D and E are points on the sides A B and A C respectively such that D E B C If A D=8x-7,\ \ D B=5x-3,\ \ A E=4x-3 and E C=(3x-1) , find the value of x . .

RD SHARMA ENGLISH-COORDINATE GEOMETRY-All Questions
  1. Prove that the points (a ,\ 0),\ (0,\ b) and (1,\ 1) are colline...

    Text Solution

    |

  2. The area of a triangle is 5. Two of its vertices are (2,\ 1) and (3...

    Text Solution

    |

  3. Four points A(6,\ 3),\ \ B(-3,\ 5),\ \ C(4,\ -2) and D(x ,\ 3x) are...

    Text Solution

    |

  4. For what value of a the point (a ,\ 1),\ (1,\ -1) and (11 ,\ 4) are...

    Text Solution

    |

  5. Prove that the points (a ,\ b),\ (a1,\ b1) and (a-a1,\ b-b1) are ...

    Text Solution

    |

  6. If (x ,\ y) be on the line joining the two points (1,\ -3) and (-4,...

    Text Solution

    |

  7. Find the value of k if points (k ,\ 3),\ (6,\ -2) and (-3,\ 4) are ...

    Text Solution

    |

  8. Find the value of k , if the points A(7,\ -2),\ \ B(5,\ 1) and C...

    Text Solution

    |

  9. If the point P(m ,\ 3) lies on the line segment joining the poin...

    Text Solution

    |

  10. Find the value of k if the points A(8,1), B(3,-4) and C(2,k) are colli...

    Text Solution

    |

  11. Find the value of a for which the area of the triangle formed by...

    Text Solution

    |

  12. If the vertices of a triangle are (1,\ -3),\ (4,\ p) and (-9,\ 7) a...

    Text Solution

    |

  13. Find the area of a parallelogram A B C D if three of its vertice...

    Text Solution

    |

  14. The points (k-1, k+2),(k , k+1),(k+1, k) are collinear for

    Text Solution

    |

  15. If the points A(-1,\ -4),\ \ B(b ,\ c) and C(5,\ -1) are colline...

    Text Solution

    |

  16. If P(-5,\ -3),\ Q(-4,\ -6),\ R(2,\ -3) and S(1,\ 2) are the vertice...

    Text Solution

    |

  17. Find the area of the triangle P Q R with Q(3,\ 2) and the mid-po...

    Text Solution

    |

  18. Write the distance between the points A(10costheta,\ 0) and B(0,\ 1...

    Text Solution

    |

  19. Write the perimeter of the triangle formed by the points O(0,\ 0),\...

    Text Solution

    |

  20. Write the ratio in which the line segment joining points (2,\ 3) an...

    Text Solution

    |