Home
Class 12
MATHS
The equation of the plane through (-1,1,...

The equation of the plane through (-1,1,2), whose normal makes equal acute angles with coordinate axes is

A

`barr.(hati+hatj+hatk)=2`

B

`barr.(hati+hatj+hatk)=6`

C

`barr.(3hati-3hatj+3hatk)=2`

D

`barr.(hati-hatj+hatk)=3`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|276 Videos

  • PROBABILITY DISTRIBUTION

    NIKITA PUBLICATION|Exercise MCQs|127 Videos

Similar Questions

Explore conceptually related problems

The equation of the line through (1,2) , which makes equal intercepts on the axes is

The equation of the line passing through (0,0) and making equal angles with coordinate axes is

Write a unit vector making equal acute angle with the coordinates axes.

A line with positive direction cosines passes through the ont P(2,-1,2) and makes equal angles with the coordinate axes. The line meets the plane 2x+y+z=9 at Q. The length of the line segment PQ equals (A) 1 (B) sqrt(2) (C) sqrt(3) (D) 2

Equation of plane passing through (2,-1,3) and making equal intercepts on the co-ordinate axes, is

A line with positive direction cosines passes through the point P(2,1,2) and makes equal angles with the coordinate axes.The line meets the plane 2x+y+z=9 at point Q. The length of the line segment PQ equals

The equation of the line through (3,1,2) and equally inclined to the axes is

Find the equation of the plane passing through the point (-2,1,-3) and making equal intercept on the coordinate axes

Equation of plane passing through point (1,-1,2) and making equal intrcepts on co-ordinate axes is

NIKITA PUBLICATION-PLANE-MULTIOLE CHOICE QUESTIONS
  1. The distance of point (2,-1,0) from the plane 2x+y+2z+8=0 is

    Text Solution

    |

  2. Show that the points (-3,0,1) and (1,1,1) are equidistant from the pla...

    Text Solution

    |

  3. If d(1)andd(2) are the distances of points (2 ,3 ,4 ) and (1 , 1 ,4 ...

    Text Solution

    |

  4. Find the equations of the planes parallel to the plane x - 2y + 2z -4 ...

    Text Solution

    |

  5. Find the equations of the plane parallel to the plane x + 2y + 2z + 8 ...

    Text Solution

    |

  6. If the distance of the point (1,1,1) from the origin is half its dista...

    Text Solution

    |

  7. If the perpendicular distance of point A other than origin from the pl...

    Text Solution

    |

  8. The plane ax+by+cz=105 contain the lines 2x-y+z=3and3x+y+z=5 . If po...

    Text Solution

    |

  9. Which of the following is correct?

    Text Solution

    |

  10. The equation of a plane which cuts equal intercepts of unit length on ...

    Text Solution

    |

  11. If the plane x- 3y +5z= d passes through the point (1, 2, 4), then the...

    Text Solution

    |

  12. If a plane meets the co-ordinate axes in A ,B , C such that the centr...

    Text Solution

    |

  13. If a variable plane which is at a constant distance 3p from the origin...

    Text Solution

    |

  14. If plane meets co-ordinates axes at A , B ,C such that centroid of tri...

    Text Solution

    |

  15. IF for a plane the intercepts on the coordinate axes are 8,4,4 then th...

    Text Solution

    |

  16. The plane x / 2 + y / 3 + z / 4 = 1 cuts the co-ordinate axes in A, B,...

    Text Solution

    |

  17. The equation of the plane through (-1,1,2), whose normal makes equal a...

    Text Solution

    |

  18. If the distance of points 2hati+3hattj+lamdahatk from the plane r*(3ha...

    Text Solution

    |

  19. The distance of the point (1,3,-7) from the plane passing through the ...

    Text Solution

    |

  20. If the image of the point P(1,-2,3) in the plane, 2x+3y-4z+22=0 measur...

    Text Solution

    |