Home
Class 12
MATHS
A parallelopiped is formed by planes dra...

A parallelopiped is formed by planes drawn through the points `(1, 2, 3) and (9, 8, 5)` parallel to the coordinate planes, then which of the following Is not length of an edge of this rectangular parallelopiped?

A

`2`

B

`4`

C

`6`

D

`8`

Text Solution

Verified by Experts

The correct Answer is:
(b)
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|28 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|14 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise For Session 4|7 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

A parallelopied is formed by planes drawn through the points (2, 4, 5) and (5, 9, 7) parallel to the coordinate planes. The length of the diagonal of parallelopiped is

A parallelopiped is formed by planes drawn through the points (2, 3, 5) and (5, 9, 7) parallel to the coordinate planes. The length of the diagonal of the parallelopiped is ……

Planes are drawn through the points (5, 0, 2) and (3, - 2, 5) parallel to the co-ordinates planes. Find the lengths of the edges of the rectangular parallelopiped so formed.

Find the lengths of the edges of the rectangular parallelopiped formed by planes drawn through the points (1, 2, 3) and (4, 7, 6) parallel to the co-ordinate planes.

Find the equation of plane passing through the point (1,4,-2) and parallel to the plane 2x-y+3z=0

A parallelepiped is formed by planes drawn parallel to coordinate axes through the points A=(1,2,3) and B=(9,8,5). The volume of that parallelepiped is equal to (in cubic units)

Find the equation of the plane through the point (1,4,-2) and parallel to the plane 2x-y+3z+7=0 .

Planes are drawn parallel to the coordinate planes through the points (1, 2,3) and (3, -4, -5). Find th lengths of the edges of the parallelopiped so formed.

Find the equation of plane which passes through the point (1,-1,4) and is parallel to the plane 2x-3y+7z=11 .

Find the equation of the plane through the points (2, 2, 1) and (9, 3, 6) and perpendicualr to the plane 2x + 6y + 6z = 1.

ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Option Correct Type Questions)
  1. Equations of the line which passe through the point with position vect...

    Text Solution

    |

  2. Which of the following pairs of linear equations are consistent ? Obta...

    Text Solution

    |

  3. A parallelopiped is formed by planes drawn through the points (1, 2, 3...

    Text Solution

    |

  4. Vector equation of the plane r = hati-hatj+ lamda(hati +hatj+hatk)+mu(...

    Text Solution

    |

  5. Find the shortest distance between the lines whose equations are : vec...

    Text Solution

    |

  6. Consider the plane (x,y,z)= (0,1,1) + lamda(1,-1,1)+mu(2,-1,0) The dis...

    Text Solution

    |

  7. The value of a for which the lines (x-2)/(1)=(y-9)/(2)=(z-13)/(3) and ...

    Text Solution

    |

  8. For the line (x-1)/1=(y-2)/2=(z-3)/3, which one of the following is ...

    Text Solution

    |

  9. Given planes P1:cy+bz=x P2:az+cx=y P3:bx+ay=z P1, P2 and P3 pass...

    Text Solution

    |

  10. The lines (x-2)/(1)=(y-3)/(1)=(z-4)/(-k) and (x-1)/(k)=(y-4)/(2)=(z-5)...

    Text Solution

    |

  11. The line (x-2)/(3)=(y+1)/(2)=(z-1)/(-1) intersects the curve xy=c^2, z...

    Text Solution

    |

  12. The line which contains all points (x, y, z) which are of the form (x,...

    Text Solution

    |

  13. If the position vectors of the points A,B and C be hati+hatj,hati-hatj...

    Text Solution

    |

  14. Find the equation of plane passing through the line of intersection o...

    Text Solution

    |

  15. A straight line is given by r=(1+t)i+3tj+(1-t)k, where tinR. If this l...

    Text Solution

    |

  16. Find the distance of the point (-1, -5, -10) from the point of interse...

    Text Solution

    |

  17. What is the Next Prime Number after 7 ?

    Text Solution

    |

  18. The three vectors hat i+hat j,hat j+hat k, hat k+hat i taken two at a ...

    Text Solution

    |

  19. The orthogonal projection A' of the point A with position vector (1, 2...

    Text Solution

    |

  20. The equation of the line passing through (1, 1, 1) and perpendicular t...

    Text Solution

    |