Home
Class 12
MATHS
The equation of the plane perpendicular ...

The equation of the plane perpendicular to the line `(x-1)/(1), (y-2)/(-1), (z+1)/(2)` and passing through the point `(2, 3, 1)`. Is

A

`rcdot(hat(i)+hat(j)+2hat(k))=1`

B

`rcdot(hat(i)-hat(j)+2hat(k))=1`

C

`rcdot(hat(i)-hat(j)+2hat(k))=7`

D

None of these

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

Equation of the plane perpendicular to the line x/1=y/2=z/3 and passing through the point (2,3,4) is :

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

Write the equation of a line, parallel to the line (x-2)/-3=(y+3)/2=(z+3)/6 and passing through the point (1,2,3).

Find the equation of the plane parallel to the line (x-2)/1=(y-1)/3=(z-3)/2 , which contains the point (5,2,-1) and passes through the origin.

Find the equation of the plane through the point (1,1,1) , parallel to the line (x-1)/(2)=(y-2)/(-3)=(z-3)/(3) and perpendicular to the plane x-2y+z-6=0 .

The equation of the line passing through (1,2) and perpendicular to the line x+y+1=0 is :

Find the equation of the plane passing through the line (x-1)/2=(y+1)/1=(z-3)/4 and perpendicular to the plane x+2y-z=12 .

Find the equation of a line passing through the point P(2,-1,-3) and perpendicular to the lines (x-1)/(2)=(y-1)/(-2)=(z+1)/(1) and (x-2)/(1)=(y+1)/(2)=(z+3)/(2)

Find the equation of the straight line through the point (1,-3,2) and perpendicular to the lines (x-1)/(1)=(y-2)/(2)=(z-3)/(3) and (x-1)/(-3)=(y-2)/(2)=(z-1)/(5) .

Find the equation of the plane passing through the point (1,1,0),(1,2,1) and (2,3,2).

ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Option Correct Type Questions)
  1. If P is a point in space such that OP is inclined to OX at 45^(@) and ...

    Text Solution

    |

  2. The direction cosines of the lines bisecting the angle between the lin...

    Text Solution

    |

  3. The equation of the plane perpendicular to the line (x-1)/(1), (y-2)/(...

    Text Solution

    |

  4. The locus of a point which moves so that the difference of the squares...

    Text Solution

    |

  5. The position vectors of points a and b are hat(i)-hat(j)+3hat(k) and 3...

    Text Solution

    |

  6. The vector equation of the plane through the point 2hat(i)-hat(j)-4hat...

    Text Solution

    |

  7. Let vector be the 2hat(i)+hat(j)-hat(k) then find the unit vector in ...

    Text Solution

    |

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

    Text Solution

    |

  9. Find the value of m for which the straight line 3x-2y+z+3=0=4x-3y+4z+1...

    Text Solution

    |

  10. The length of projection of the line segment joining the points (1,0,-...

    Text Solution

    |

  11. The number of planes that are equidistant from four non-coplanar point...

    Text Solution

    |

  12. In a three-dimensional coordinate system, P ,Q ,and R are images of ...

    Text Solution

    |

  13. A plane passing through (1,1,1) cuts positive direction of coordinates...

    Text Solution

    |

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

    Text Solution

    |

  15. The equation of the plane through the intersection of the planes x+y+z...

    Text Solution

    |

  16. Two system of rectangular axes have the same origin. If a plane cuts t...

    Text Solution

    |

  17. ABC is an isosceles triangle right angled at A. forces of magnitude 2s...

    Text Solution

    |

  18. Consider the following 3lines in space L1:r=3hat(i)-hat(j)+hat(k)+la...

    Text Solution

    |

  19. Find the angle between the pair of lines r=3hat(i)+2hat(j)-4hat(k)+l...

    Text Solution

    |

  20. Find the shortest distance between the lines given by the equations ve...

    Text Solution

    |