Home
Class 12
MATHS
The equation of the plane passing throug...

The equation of the plane passing through (4,5,-1) and with normal `3 hat i - hat j + hat k ` is ...........

A

`4x - 5y + z = 6`

B

`3x -y + z= 6`

C

`3x + y + z =6`

D

`4x + 5y -z = 6`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise SOLUTION OF NCERT EXAMPLAR PROBLEMS (Short Answer Type Question)|49 Videos

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Practice Paper - 1 (Section - D)|2 Videos

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Practice Paper - 10 (Section-D)|2 Videos

Similar Questions

Explore conceptually related problems

The equation of the plane passing through the point hat i + 2 hat j + - hat k and perpendicular to the intersection line of the planes bar r . ( 3 hat i - hat j + hat k) = 1 and bar (hat i + 4 hat j - 2 hat ) = 2 is.............

Find the equation of the plane passing through (3,4,-1), which is parallel to the plane vec rdot (2 hat i-3 hat j+5 hat k) +7=0.

The vector equation of the line joining the pionts hat(i) - 2hat (j)+ hat k and -2 hat j + 3 hatk ........

Find the equation of plane passing through the point (1, 2, 3) and having the vector r=2hat(i)-hat(j)+3hat(k) normal to it.

The vector equation of the plane which is at distance 8 units from origin and having normal 2hat i + hat j + 2 hat k is........

The equation of the line passing through hat i + 3 hat j + 2 hat k and prependiccular to the lines bar (r) = (1,2,-1) +lambda (2,1,1) and bar r = (2,6,1) + mu (1,2,3) is .........

The equation of the plane with normal 2 hati + hatj -2 hat k and at distance 5 units from the origin is...........

The vector equation of the plane containing the line vec r (-2 hat i - 3 hat + 4 hatk) + lambda (3 hat i - 2 hat j - hat k) and the point hat i + 2 hatj + 3 hat k is ..........

KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-MULTIPLE CHOICE QUESTIONS (MCQs)
  1. The equation of the plane passing through the intersection of the plan...

    Text Solution

    |

  2. The angle makes by the plane 2x + 3y + 6z - 15=0 with Y-axis is .........

    Text Solution

    |

  3. The equation of the plane passing through (4,5,-1) and with normal 3 h...

    Text Solution

    |

  4. The sum of the Y and Z intercepts made by the plane 3x + 4y -6z = 12 i...

    Text Solution

    |

  5. If the foot of perpendicular from the origin to the plane is (a,b,0) t...

    Text Solution

    |

  6. The distance of the point (1,-5,9) from the plane x-y + z = 5 measured...

    Text Solution

    |

  7. If the line (x-3)/(2) = (y +2)/(-1) = (z+4)/(3) is in the plane lx + ...

    Text Solution

    |

  8. If the distance between the palens 2x- y + 2z = 1 and 4x-2y + 4z = k...

    Text Solution

    |

  9. If the foot of perpendicular from origin to the plane is (1,2,3) then ...

    Text Solution

    |

  10. If the line (x-4)/(1) = (y-2)/(1) = (z+k)/(2) lies in the plane 2x -4y...

    Text Solution

    |

  11. The direction of the line of intersection of the planes 2x + 3y + z-1 ...

    Text Solution

    |

  12. The pane x+2y -2z = 6 makes the intercepts with the axes, The centroid...

    Text Solution

    |

  13. The angle between the lines (x-1)/(2) = (y+1)/(1) =(1-z)/2 and x = k +...

    Text Solution

    |

  14. The plane passes through the point (1,-1,-1) and its normal is perpend...

    Text Solution

    |

  15. The plane ax + by + cz = 1 intersects the axes in A, B and C respetive...

    Text Solution

    |

  16. The plane makes the angles (pi)/(4),(pi)/(4) and (pi)/(2) with the pos...

    Text Solution

    |

  17. The equation of the plane passing through the pionts (2,5,-3) and perp...

    Text Solution

    |

  18. The equation of the plane passing through the pionts (0,-4,-6) and (-2...

    Text Solution

    |

  19. The line joining the pionts (1,1,2) and (3,-2,1) meets the plane 3x + ...

    Text Solution

    |

  20. The plane passing through (5,1,2) and perpendicular to the line 2(x-2)...

    Text Solution

    |