Home
Class 12
MATHS
Three vertices of a rectangle are (3,2),...

Three vertices of a rectangle are (3,2),(-4,2) and (-4,5). Plot the points and find the coordinates of the fourth vertex.

A

`(-1,13,13)`

B

`(3,-3,-1)`

C

`(7,1,-5)`

D

`(3,-3,-5)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|9 Videos
  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|9 Videos
  • INTEGRALS

    NEW JOYTHI PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS|34 Videos
  • LIMITS AND DERIVATIVES

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|20 Videos

Similar Questions

Explore conceptually related problems

Three vertices of a parallelogram ABCD are A(3,-1,2),B(1,2,-4) and C(-1,1,2) . The corrdinates of the fourth vertex is

The vertices of trianglePQR are P(0,-4),Q(3,1) and R(-8,1) Find the coordinates of N, the mid-point of QR.

If the midpoints of the sides of a triangle are (2,1),(-1,-3),a n d(4,5), then find the coordinates of its vertices.

The vertices of trianglePQR are P(0,-4),Q(3,1) and R(-8,1) Find the coordinates of M , the mid-point of QP.

Two vertices of a triangle are (5,-1) and (-2,3) If the orthocentre of the triangle is the origin, find the coordinates of the third point.

Two vertices of a triangle are (4,-3) & (-2, 5) . If the orthocentre of the triangle is at (1,2) , find coordinates of the third vertex .

The coordinates of the middle points of the sides of a triangle are (4, 2), (3, 3) and (2,2) then the coordinates of the centroid are

The area of triangle is 5 sq. units. Two of its vertices are (2, 1) and (3, -2) . The third vertex is (x, y) where y=x+3. Find the coordinates of the third vertex.

If A(3,5), B(-5, - 4), C(7, 10) are the vertices of a parallelogram, taken in the order, then the co-ordinates of the fourth vertex are

NEW JOYTHI PUBLICATION-INTRODUCTION TO THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. The distance between P(1,-3,4) and Q(-4,1,2) is

    Text Solution

    |

  2. The points A(3,6,9),B(10,20,30) and C(25,-41,5)

    Text Solution

    |

  3. Show that the points (1, 2, -1), (2, 5, 1) and (0, -1, -3) are colline...

    Text Solution

    |

  4. Find the equation of the set of points which are equidistant from the ...

    Text Solution

    |

  5. The equation of the set of points P, the sum of whose distances from A...

    Text Solution

    |

  6. The points (-4,6,10),(2,4,6) and (14,k,-2) are collinear then k is

    Text Solution

    |

  7. The ratio in which the point Q(5,4,-6) divides the line joining the po...

    Text Solution

    |

  8. Find the ratio in which the YZ-plane divides the line segment formed b...

    Text Solution

    |

  9. The coordinates of a point which trisect the line segment joining the ...

    Text Solution

    |

  10. Three vertices of a parallelogram ABCD are A(3,-1,2),B(1,2,-4) and C(-...

    Text Solution

    |

  11. Three vertices of a rectangle are (3,2),(-4,2) and (-4,5). Plot the po...

    Text Solution

    |

  12. If the origin is the centroid of the triangle PQR with vertices P(2a,2...

    Text Solution

    |

  13. Find the distance of the following pair of point: findthe voordinates ...

    Text Solution

    |

  14. A point R with x-coordinate 4 lies on the line segment joining the poi...

    Text Solution

    |

  15. The vertices of a triangle have integer co- ordinates then the triang...

    Text Solution

    |

  16. The vertices of a triangle are (3,2,5),(3,2,-1) and (7,2,5). The circu...

    Text Solution

    |

  17. The locus of a point P(x,y,z) which moves in such a way that z=c (cons...

    Text Solution

    |

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

    Text Solution

    |

  19. A(3,2,0),B(5,3,2) and C(-9,6,-3) are the vertices of triangle ABC. If ...

    Text Solution

    |