Home
Class 12
MATHS
The area of the quadrilateral ABCD, wher...

The area of the quadrilateral ABCD, where A 0,4, 1), B (2, 3, -1), C (4, 5, 0) and D (2, 6, 2) is equal to

A

9 sq. units

B

18 sq. units

C

27 sq. units

D

81 sq. units

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARK (TYPE-II: FILL IN THE BLANKS QUESTIONS)|21 Videos

  • THREE DIMENSIONAL GEOMETRY

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARK (TYPE-III: (TRUE OR FALSE QUESTIONS))|17 Videos

  • THREE DIMENSIONAL GEOMETRY

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 6 MARKS:|56 Videos

  • SAMPLE QUESTIONS PAPER - III (UNSOLVED)

    ACCURATE PUBLICATION|Exercise SECTION - D|6 Videos

  • VECTOR ALGEBRA

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 2 MARKS|102 Videos

Similar Questions

Explore conceptually related problems

Find the angle between the diagonals of parallelogram ABCD whose vertices are A (0, 2), B (2, - 1), C (4, 0) and D (2, 3).

Show that the points : (0,4,1),(2,3,-1),(4,5,0) and (2,6,2) are vertices of square.

Consider a triangulat pyramid ABCD the position vector of whose angular points are A(3, 0, 1), B(-1, 4, 1), C(5, 2, 3) and D(0, -5, 4) . Let G be the point of intersection of the medians of the triangle(BCD) . Q. Area of the triangle(ABC) (in sq. units) is

Consider a triangular pyramid ABCD the position vectors of whose angular points are A(3, 0, 1), B(-1, 4, 1), C(5, 2, 3) and D(0, -5, 4) . Let G be the point of intersection of the medians of triangle BCD. Q. Area of triangle ABC in sq. units is

Find the area of the triangle whose vertices are : A(1,2,3), B(2,-1,4) and C(4,5,-1)

Using vectors find the area of the triangle ABC with vertices A(1,0,3),B(2,1,4) and C(4,3,1).

Find x such that the four points A (4, 1, 2), B (5, x, 6), C (5, 1,-1) and D (7, 4, 0) are coplanar

In any quadrilateral ABCD, prove that: sin (A + B) + sin(C +D)=0 .

Show that the points : A (0,- 2), B (3, 1), C (0, 4) and D (- 3, 1) are the vertices of a square ABCD.

Show that the following points are the vertices of a rectangle. (i) A(-4, -1), B(-2, -4), C(4, 0) and D(2, 3) (ii) A(2, -2), B(14, 10), C(11, 13) and D(-1, 1) (iii) A(0, -4), B(6, 2), C(3, 5) and D(-3, -1)

ACCURATE PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTIONS CARRYING 1 MARK (TYPE-I: MULTIPLE CHOICE QUESTIONS )
  1. Direction ratios of line given by line (x-1)/3=(2y+6)/12=(1-z)/-7 are...

    Text Solution

    |

  2. Direction ratio of line given by (x-1)/3=(6-2y)/10=(1-z)/-7 are :

    Text Solution

    |

  3. The equation of line is (2x-5)/4=(y+4)/3=(6-z)/6 then the d.c.'s ofli...

    Text Solution

    |

  4. Direction ratios of normal to plane which is parallel to the plane 3x ...

    Text Solution

    |

  5. The distance between the planes, 3x+ 2y-6z-14=0 and 3x+ 2y-6z+21 =0 is...

    Text Solution

    |

  6. The distance between the planes, 3x+ 2y-6z-14=0 and 3x+ 2y-6z+21 =0 is...

    Text Solution

    |

  7. Distance between the two planes: 2x+3y+4z=4 and 4x+6y+8z = 12 is:

    Text Solution

    |

  8. The planes 2x - y + 4z = 5 and 5x - 2.5y + 10z = 6 are :

    Text Solution

    |

  9. The co-ordinates of foot of the perpendicular drawn from the point (2,...

    Text Solution

    |

  10. P is a point on the line segment joining the points (3, 2, -1) and (6,...

    Text Solution

    |

  11. If alpha, beta, gamma are the angles that a line makes with the positi...

    Text Solution

    |

  12. The distance of a point P(a, b, c) from z-axis is

    Text Solution

    |

  13. The equation of x-axis is of the form

    Text Solution

    |

  14. If a line makes equal angles with coordinates axes its direction - cos...

    Text Solution

    |

  15. Distance of the point (alpha, beta,gamma) from y-axis is

    Text Solution

    |

  16. If the direction cosine of a line are < k,k,k >, then,

    Text Solution

    |

  17. The distance of the plane vec(r) .(2 hat(i) + 3 hat(j) - 6 hat(k)) = 7...

    Text Solution

    |

  18. The reflection of the point (alpha,beta,gamma) in the xy-plane is:

    Text Solution

    |

  19. The area of the quadrilateral ABCD, where A 0,4, 1), B (2, 3, -1), C (...

    Text Solution

    |

  20. The locus represented by x y + yz=0 is

    Text Solution

    |