Home
Class 12
MATHS
The vertices B and C of a DeltaABC lie o...

The vertices B and C of a `DeltaABC` lie on the line, `(x+2)/(3)=(y-1)/(0)=(z)/(4)` such that BC=5 units. Then, the area (in sq units) of this triangle, given that the point A(1, -1, 2) is

A

`sqrt(34)`

B

`5sqrt(17)`

C

`2sqrt(34)`

D

6

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|25 Videos
  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS)|20 Videos
  • STATISTICS

    MCGROW HILL PUBLICATION|Exercise QUESTION FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|13 Videos
  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos

Similar Questions

Explore conceptually related problems

Vertices Ba n dC of A B C lie along the line (x+2)/2=(y-1)/1=(z-0)/4 . Find the area of the triangle given that A has coordinates (1,-1,2) and line segment B C has length 5.

" The area (in sq.units) of the triangle formed by the lines "x=0,y=0" and "3x+4y=12" is equal to "

If two points B and C at distance of 5 units from each other,lie on the line (x+2)/(3)=(y-1)/(0)=(2)/(4). If point A has coordinates (1,-1,2). Then the area of Delta ABC is

The area (in sq unit) of the triangle formed by x+y+1=0 and the pair of straight lines x^2-3xy+2y^2=0 is

If the area of the triangle formed by (0,0),(-1,2) and (1,2) is 2 sq. units,then the area of the triangle on shifting the origin to a point (2019,2020) is

If the area of the triangle formed by the points (1,2),(2,3),(x,4) is 40 sq.units,then x is

If the area of the triangle formed by the points (1,2) , (2,3) , (x,4) is 40 sq.units, then x is

In DeltaABC,(cosA)/(a)=(cosB)/(b)=(cosC)/(c) . If a=(1)/(sqrt(6)) , then the area of the triangle (in sq unit )is

MCGROW HILL PUBLICATION-THE DIMENSIONAL GEOMETRY -QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
  1. A tetrahedron has vertices P(1,2,1),Q(2,1,3),R(-1,1,2) and O(0,0,0). T...

    Text Solution

    |

  2. Let S be the set of all real values of lamda such that a plane passing...

    Text Solution

    |

  3. If an angle between the line, (x+1)/(2)=(y-2)/(1)=(z-3)/(-2) and the...

    Text Solution

    |

  4. The length of the perpendicular from the point (2, -1, 4) on the strai...

    Text Solution

    |

  5. The equation of a plane containing the line of intersection of the pla...

    Text Solution

    |

  6. Find the equation of the plane through the line of intersection of the...

    Text Solution

    |

  7. If a point R ( 4, y, z ) lies on the line segment joining the poi...

    Text Solution

    |

  8. If the line (x-1)/(2)=(y+1)/(3)=(z-2)/(4) meets the plane, x+2y+3z=15 ...

    Text Solution

    |

  9. A plane passing through the points (0,-1,0) and (0,0,1) and making an ...

    Text Solution

    |

  10. The vertices B and C of a DeltaABC lie on the line, (x+2)/(3)=(y-1)/(0...

    Text Solution

    |

  11. Let A(3,0,-1) ,B(2,10,6) and C(1,2,1) be the vertices of a triangle ...

    Text Solution

    |

  12. A perpendicular is drawn from a point on the line (x-1)/(2)=(y+1)/(-1)...

    Text Solution

    |

  13. If the plane 2x-y+2x+3=0 has the distances (1)/(3) and (2)/(3) units f...

    Text Solution

    |

  14. If the line (x-2)/(3)=(y+1)/(2)=(z-1)/(-1) intersects the plane 2x+3y-...

    Text Solution

    |

  15. A plane which bisects the angle between the two given planes 2x-y+2z-4...

    Text Solution

    |

  16. Let P be the plane, which contains the line of intersection of the pla...

    Text Solution

    |

  17. if the length of the perpendicular from the point (beta,0,beta ...

    Text Solution

    |

  18. If Q(0, -1, -3) is the image of the point P in the plane 3x-y+4z=2 and...

    Text Solution

    |

  19. The distance of the point having position vector -hati+ 2 hatj + 6 hat...

    Text Solution

    |

  20. The length of the perpendicular drawn from the point (2,1,4) to the pl...

    Text Solution

    |