Home
Class 12
MATHS
Vertices Ba n dC of A B C lie along the...

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.

A

`sqrt34`

B

`2sqrt34`

C

`5sqrt17`

D

`6`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|34 Videos

  • THREE DIMENSIONAL GEOMETRY

    VMC MODULES ENGLISH|Exercise NUMERICAL VALUE TYPE FOR JEE MAIN|14 Videos

  • STRAIGHT LINES

    VMC MODULES ENGLISH|Exercise JEE Advanced Archive (State true or false: Q. 42)|1 Videos

  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|11 Videos

Similar Questions

Explore conceptually related problems

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

Find the area of the triangle with vertices A(1, 1, 2), B(2, 3, 5) and C(1, 5, 5).

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

Find the area of the triangle whose vertices are A(3,-1,2),\ B(1,-1,-3)a n d\ C(4,-3,1)dot

Using vectors, find the area of the triangle with vertices A(1,1,2),\ B(2,3,5)a n d\ C(1,5,5)

Using vectors, find the area of the triangle with vertices A(1,1,2),\ B(2,3,5)a n d\ C(1,5,5)

Using vectors, find the area of the triangle with vertices A(1,1,2),\ B(2,3,5)a n d\ C(1,5,5)

Find the angles of a triangle whose vertices are A(0,-1,-2),B(3,1,4) and C (5,7,1).

Using vectors, find the area of the triangle with vertices A (1, 1, 2), B (2, 3, 5) and C (1, 5, 5).

Using vectors, find the area of the triangle with vertices A (1, 1, 2), B (2, 3, 5) and C (1, 5, 5).

VMC MODULES ENGLISH-THREE DIMENSIONAL GEOMETRY -JEE MAIN (ARCHIVE)
  1. Equation of any plane containing the line (x-x1)/(a)=(y-y1)/(b)=(z-z1)...

    Text Solution

    |

  2. The distance of the point having position vector -hat(i) + 2hat(j) + 6...

    Text Solution

    |

  3. Vertices Ba n dC of A B C lie along the line (x+2)/2=(y-1)/1=(z-0)/4 ...

    Text Solution

    |

  4. Let sqrt(3) hati + hatj , hati + sqrt(3)hatj and beta hati + (1- beta...

    Text Solution

    |

  5. The distance of the point (1, -5, 9) from the plane x-y+z=5 measured a...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. let P be the plane, which contains the line of intersection of the pla...

    Text Solution

    |

  13. A plane passing through the points (0, –1, 0) and (0, 0, 1) and making...

    Text Solution

    |

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

    Text Solution

    |

  15. Find the vector equation of the plane through the line of intersection...

    Text Solution

    |

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

    Text Solution

    |

  17. The magnitude of the projection of the vector 2hati+3hatj+hatk on the ...

    Text Solution

    |

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

    Text Solution

    |

  19. about to only mathematics

    Text Solution

    |

  20. A plane passing through three points (-lamda^2, 1, ) (1, -lamda^2, 1),...

    Text Solution

    |