Home
Class 12
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` .

A

`11/8`

B

`8/11`

C

3

D

`1/3`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION B) (OBJECTIVE TYPE QUESTIONS) (ONLY ONE ANSWER)|33 Videos
  • STRAIGHT LINES

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION C) (OBJECTIVE TYPE QUESTIONS) (MORE THAN ONE ANSWER)|14 Videos
  • STRAIGHT LINES

    AAKASH INSTITUTE|Exercise TRY YOURSELF|23 Videos
  • STATISTICS

    AAKASH INSTITUTE|Exercise Section-C Assertion-Reason|15 Videos
  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - J|10 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 ((A r e aofD B C))/((A r e aofA B C))=1/2dot

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

Four points A(6,3),B(-3,5),C(4,-2) and D(x,3x) are given in such a way that (DBC)/(ABC)=(1)/(2),f in dx

The coordinates of A, B, C, D are (6, 3), (-3, 5), (4, -2) and (x, 3x) respectively. If (DeltaDBC)/(DeltaABC ) = 1/2 , find x

The coordinates of points A,B,C and D are (6,3),(-3,5),(4,-2) and (x,3x) respectively and ( Areaof Delta DBC)/( Areaof Delta ABC)=(1)/(2) find x

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.

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 .

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

AAKASH INSTITUTE-STRAIGHT LINES-ASSIGNMENT (SECTION A) (OBJECTIVE TYPE QUESTIONS) (ONLY ONE ANSWER)
  1. If the line x/a+y/b=1 passes through the points a (2,- 3) and (4, - 5)...

    Text Solution

    |

  2. The triangle formed by the lines x + y = 0,3x + y = 4,x+3y = 4 is

    Text Solution

    |

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

    Text Solution

    |

  4. The lines x=3,y=4and 4x-3y+a=0 are concurrent for a equal to

    Text Solution

    |

  5. y-axis divides the linje segment joining (-3,-4)and (1,-2) in the rati...

    Text Solution

    |

  6. The distance of the mid point of the line joining the points (a sin th...

    Text Solution

    |

  7. The slope of the line passing through the points (a^(2),b)and (b^(2),a...

    Text Solution

    |

  8. If the slope of a line joining the points (7,3)and (k,2) is -4, then t...

    Text Solution

    |

  9. The value of 'p' such that the line passing through the points (-4,p)a...

    Text Solution

    |

  10. The value of 'p' such that line passing through the points (-4,p)&(1,3...

    Text Solution

    |

  11. The two linesax+by=cand a'x+b'y=c' are perpendicular if

    Text Solution

    |

  12. Slope of a line which cuts off intercepts of equal lengths on the axes...

    Text Solution

    |

  13. Angle made by the line passsing through (1,0) and (-2,sqrt3) with x-ax...

    Text Solution

    |

  14. Angle between x=2and x-3y=6 is

    Text Solution

    |

  15. If the lines y = 3x + 1 and 2y = x + 3 are equally inclined to the lin...

    Text Solution

    |

  16. Prove that the points (2,-1), (0,2), (2,3) and (4,0) are the coordi...

    Text Solution

    |

  17. The obtuse angle between the lines y=-2xand y=x+2 is

    Text Solution

    |

  18. The points (-a,-b), (0,0). (a,b) and (a^(2),a^(3)) are

    Text Solution

    |

  19. Find the equation of a line passing through (1,2) and making angle of ...

    Text Solution

    |

  20. Show that the equations of eth straight lines passing through the poin...

    Text Solution

    |