Home
Class 12
MATHS
A rod of length 2units whose one end is ...

A rod of length 2units whose one end is `(1, 0, -1)` and other end touches the plane `x-2y+2z+4=0`, then

A

The rod sweeps the figure whose volume is `pi` cubic units.

B

The area of the region which the rod traces on the plane is `2pi`.

C

The length of projection of the rod on the plane is `sqrt(3)` units.

D

The centre of the region which the rod traces on the plane is `((2)/(3), (2)/(3), -(5)/(3))`.

Text Solution

Verified by Experts

The correct Answer is:
(a, c, d)
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|12 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS ENGLISH|Exercise Exercise (Passage Based Questions)|33 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Option Correct Type Questions)|96 Videos

  • THEORY OF EQUATIONS

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

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

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

Similar Questions

Explore conceptually related problems

A rod of length 2 units whose one ends is (1, 0, -1) and other end touches the plane x-2y+ 2z+4=0 , then which statement is false

The equation of the plane passing through the point (1,1,-1) and perpendicular to the planes x+2y+3z-7=0 and 2x-3y+4z=0 is (a) 17 x+2y-7z=26 (b) 17 x-2y+7z=26 (c) 17 x+2y-7z+26=0 (d) 17 x-2y+7z+26=0

Equation of the plane passing through the point (1,1,1) and perpendicular to each of the planes x+2y+3z=7 and 2x-3y+4z=0 l is

The equation of the plane which passes through the points (2, 1, -1) and (-1, 3, 4) and perpendicular to the plane x- 2y + 4z = 0 is

A line is of length 10 units and one of its ends is (-2, 3) . If the ordinate of the other end is 9, prove that the abscissa of the other end is 6 or -10

The line (x)/(1) = y/2=z/3 and the plane x-2y+ z=0:

A plane P = 0 passing through the point (1, 1, 1) is perpendicular to the planes 2x-y+2z=5 and 3x+6y-2z=7 . If the distance of the point (1, 2, 3) from the plane P = 0 is k units, then the value of 34k^(2) is equal to

A rod of length k slides in a vertical plane, its ends touching the coordinate axes. Prove that the locus of the foot of the perpendicular from the origin to the rod is (x^2+y^2)^3=k^2x^2y^2dot

A rod of length k slides in a vertical plane, its ends touching the coordinate axes. Prove that the locus of the foot of the perpendicular from the origin to the rod is (x^2+y^2)^3=k^2x^2y^2dot

The length of projection, of the line segment joining the points (1,-1,0) and (-1,0,1) to the plane 2x+y+6z=1 is equal to

ARIHANT MATHS ENGLISH-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (More Than One Correct Option Type Questions)
  1. The line (x-2)/(3)=(y+1)/(2)=(z-1)/(-1) intersects the curve x^2+y^2=r...

    Text Solution

    |

  2. A vector equally inclined to the vectors hat(i)-hat(j)+hat(k) and hat(...

    Text Solution

    |

  3. Consider the plane through (2, 3, -1) and at right angles to the vecto...

    Text Solution

    |

  4. A plane passes through a fixed point (a, b, c) and direction ratios of...

    Text Solution

    |

  5. Let A be vector parallel to line of intersection of planes P1 and P2. ...

    Text Solution

    |

  6. Find the angle between the planes 2x+y+z-1=0 and 3x+y+2z-2=0,

    Text Solution

    |

  7. Find the direction ratios of this plane 2x-3y+4z+2=0

    Text Solution

    |

  8. A line segment has length 63 and direction ratios are 3,-2 and 6. The ...

    Text Solution

    |

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

    Text Solution

    |

  10. The points A(4, 5, 10), B(2, 3, 4) and C(1, 2, -1) are three vertices ...

    Text Solution

    |

  11. The lines x=y=z meets the plane x+y+z=1 at the point P and the sphere ...

    Text Solution

    |

  12. A rod of length 2units whose one end is (1, 0, -1) and other end touch...

    Text Solution

    |

  13. Consider the planes 2x+y+z+4=0, and y-z+4=0 Find the angle between the...

    Text Solution

    |

  14. The volume of a right triangular prism ABCA(1)B(1)C(1) is equal to 3 c...

    Text Solution

    |

  15. Let a plane pass through origin and be parallel to the line (x-1)/2=(y...

    Text Solution

    |

  16. Let OABC be a regular tetrahedron with side length unity, then its vol...

    Text Solution

    |

  17. The OABC is a tetrahedron such that OA^2+BC^2=OB^2+CA^2=OC^2+AB^2,then

    Text Solution

    |

  18. If the line (x)/(1)=(y)/(2)=(z)/(3) then convert this in a vector form

    Text Solution

    |

  19. Let PM be the perpendicular form the point P(1,2,3) to the x-y plnae. ...

    Text Solution

    |

  20. Find dy/dx if y=log(logx)

    Text Solution

    |