Home
Class 12
MATHS
The equation of the plane which cuts equ...

The equation of the plane which cuts equal intercepts of unit length on coordinate axes is

A

`x+y+z-1=0`

B

`x+y+z+1=0`

C

`x+y-z=1`

D

`x-y-z=1`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    ICSE|Exercise MULTIPLE CHOICE QUESTIONS|42 Videos
  • SPECIMEN QUESTION PAPER

    ICSE|Exercise Section C|8 Videos
  • VECTORS

    ICSE|Exercise MULTIPLE CHOICE QUESTION |52 Videos

Similar Questions

Explore conceptually related problems

The equation of the plane which cuts equal intersects of unit length on the coordinate axes is x+y+z=1 b. x+y+z=0 c. x+y-z=1 d. x+y+z=2

Find the equation of the plane which cuts the intercepts of length 3,-4 and 2 units on the axes respectively.

Find the equation of the plane which cuts intercepts 2,3,-4 on the axes.

Slope of a line which cuts off intercepts of equal lengths on the axes is

Slope of a line which cuts off intercepts of equal lengths on the axes is

Find the equation of a line that cuts off equal intercepts on the coordinate axes and passes through the point (2, 3).

Find the equation of a line that cuts off equal intercepts on the coordinate axes and passes through the point (2, 3).

Find the equation of the plane which cuts equal intercepts on the axes and passes through the point (2,3,5).

Write the equation of the plane whose intercepts on the coordinate axes are 2, -3 and 4.

The abscissa of the point on the curve sqrt(x y)=a+x the tangent at which cuts off equal intercepts from the coordinate axes is -a/(sqrt(2)) (b) a//sqrt(2) (c) -asqrt(2) (d) asqrt(2)

ICSE-THREE DIMENSIONAL GEOMETRY-MULTIPLE CHOICE QUESTIONS
  1. If a line makes angles (pi)/(3) and (pi)/(4) with the x-axis and y-axi...

    Text Solution

    |

  2. The acute angle between the planes 2x-y+z=5 and x+y +2z =7 is

    Text Solution

    |

  3. The equation of the plane which cuts equal intercepts of unit length o...

    Text Solution

    |

  4. The distance of the plane overset(to) (r ) ((2)/(7) hat(i) + (3)/(7) h...

    Text Solution

    |

  5. If the plane 2x-3y+6z=11 makes an angle sin^(-1) (alpha) with the x-ax...

    Text Solution

    |

  6. The sine of the angle between the line (x-2)/(3) = (y-3)/(4) = (z-4)/(...

    Text Solution

    |

  7. The distance between the planes 2x+2y-z+2=0 and 4x+4y-2z+5=0 is

    Text Solution

    |

  8. The angle between the lines overset(to)( r)=(4 hat(i) - hat(j) )+ lamb...

    Text Solution

    |

  9. If the line (x-1)/(-3) = (y-2)/(2k) = (z-3)/( 2) and (x-1)/( 3k) = (y-...

    Text Solution

    |

  10. If a plane cuts intercepts of lengths 8,4 and4 units on the coordinate...

    Text Solution

    |

  11. The angle between the lines (x+4)/(1) = (y-3)/(2) = (z+2)/(3) and (x)/...

    Text Solution

    |

  12. If a line makes an angle of pi/4 with the positive directions of each ...

    Text Solution

    |

  13. If the planes x+2y+kz=5 and 2x +y-2z=0 are at right angles, then the v...

    Text Solution

    |

  14. The ratio in which the line segment joining the points (-2,4,5) and (3...

    Text Solution

    |

  15. The two lines x=ay+b,z=cy+d and x=a'y+b', z=c'y +d' are pendicular to ...

    Text Solution

    |

  16. distance between the parallel planes ax+by+ cz + d =0 and ax+by + cz +...

    Text Solution

    |

  17. Equations of the line passing through (1,1,1) and perpendicular to th...

    Text Solution

    |

  18. The equation of the plane which makes with coordinate axes, a triangle...

    Text Solution

    |

  19. If a variable plane moves so that the sum of the reciprocals of its in...

    Text Solution

    |

  20. If angle theta between the line (x+1)/1=(y-1)/2=(z-2)/2 and the plane ...

    Text Solution

    |