Home
Class 12
MATHS
Write the equation of the plane passing ...

Write the equation of the plane passing through (a , b , c) and parallel to xy-plane

Text Solution

Verified by Experts

The correct Answer is:
z = c
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise NCERT-FILE (EXERCISE 11.1)|5 Videos
  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise NCERT-FILE (EXERCISE 11.2)|17 Videos
  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS (C. TRUE/FALSE QUESTIONS)|7 Videos
  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST (1)|12 Videos
  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise CHAPTER TEST 10|12 Videos

Similar Questions

Explore conceptually related problems

Write the equation of the plane passing through (2, -1,1) and parallel to the plane 3x+2y-z=7.

Equation of the plane passing through (-1,3,4) and parallel to YZ-plane is

A points P(1,2,3) is one vertex of a cuboid formed by the coordinate planes and the planes passing through P and parallel to the coordinate planes. What is the equation of the plane passing through P(1,2,3) and parallel to xy-plane ?

Find the equation of the plane passing through (a,b,c) and parallel to the plane (a,b,r*(hat i+hat j+hat k)=2

Find the equation of the plane passing through (a,b,c) and parallel to the plane vec r*(hat i+hat j+hat k)=2

(i) Find the equations of the plane passing through (a,b,c) and parallel to the plane vec(r) . (hati + hatj + hatk) = 2 . (ii) Find the vector equation of the plane through the point hati + hatj + hatk and parallel to the plane vec(r). (2 hati - hatj + 2 hatk) = 5 .

Write the equation of the plane passing through the origin and parallel to the plane 5x-3y+7z+11=0 .

Find the equation of the plane passing through (a,b,c) and paralle toteh plne vecr.(hati+hatj+hatk)=2 .

The equation of a line passing through (a, b, c) and parallel tp z-axis is

Equations of the line passing through (a,b,c) and parallel to Z - axis , are

MODERN PUBLICATION-THREE DIMENSIONAL GEOMETRY -OBJECTIVE TYPE QUESTIONS (D. VERY SHORT ANSWER TYPE QUESTIONS )
  1. If a line makes angle 90^(@) and 60^(@) respectively with positively d...

    Text Solution

    |

  2. Find the direction-cosines of the line (x - 1)/(2) = - y = (z + 1)/...

    Text Solution

    |

  3. Write the vector equation of the line : (x - 5)/(3) = (y + 4)/(7) = ...

    Text Solution

    |

  4. The cartesian equations of line is : (x - 1)/(2) = (y - 2)/(3) = (z ...

    Text Solution

    |

  5. Find the vector equation of the line which passes through the point (3...

    Text Solution

    |

  6. Find the length of the perpendicular drawn from the point P (3, -4, 5)...

    Text Solution

    |

  7. The equation of a line given by (4-x)/3=(y+3)/3=(z+2)/6dot Write the d...

    Text Solution

    |

  8. Find the cartesian equation of the line which passes through the poin...

    Text Solution

    |

  9. Find the acute angle between the plane : vec(r). (hati - 2hatj - 2 h...

    Text Solution

    |

  10. Write the equation of the plane passing through (a , b , c) and parall...

    Text Solution

    |

  11. Write the intercept cut off by the plane 2x+y-z=5 on x-axis.

    Text Solution

    |

  12. Find the vector equation of a plane which is at a distance of 5 units...

    Text Solution

    |

  13. Find the vector equations of the plane whose cartesian form of equatio...

    Text Solution

    |

  14. Find the cartesian equation of the plane vec(r). (2 hati + 3 hatj - 4 ...

    Text Solution

    |

  15. What are the direction-cosines of the normal to the plane 3x + 2y - 3z...

    Text Solution

    |

  16. Find the direction-cosines of the perpendicular from the origin to the...

    Text Solution

    |

  17. Find the the distance of a point (2,5, -3) from the plane vec(r).(6 ha...

    Text Solution

    |

  18. Find the value of 'k' for which the plane : 3x - 6y - 2z = 7 and 2x...

    Text Solution

    |

  19. Write the vector equation fo the line passing through the point (1,-2,...

    Text Solution

    |

  20. Write the equation of a plane which is at a distance of 5sqrt(3) units...

    Text Solution

    |