Home
Class 12
MATHS
A plane passing through the points (0, –...

A plane passing through the points (0, –1, 0) and (0, 0, 1) and making an angle `pi/4` with the plane `y-z+5=0`, also, passes through the point :

A

`(sqrt2,1,4)`

B

`(-sqrt2,1-4)`

C

`(-sqrt2,-1,-4)`

D

`(sqrt2,-1,4)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|34 Videos
  • THREE DIMENSIONAL GEOMETRY

    VMC MODULES ENGLISH|Exercise NUMERICAL VALUE TYPE FOR JEE MAIN|14 Videos
  • STRAIGHT LINES

    VMC MODULES ENGLISH|Exercise JEE Advanced Archive (State true or false: Q. 42)|1 Videos
  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|11 Videos

Similar Questions

Explore conceptually related problems

A plane passes through the point (0,-1,0) and (0,0,1) and makes an angle of (pi)/(4) with the plane y-z=0 then the point which satisfies the desired plane is

The direction ratios of normal of a plane passing through two points (0,1, 0) & (0, 0, 1) and makes an angle pi/4 with the plane y-z-5=0 are (A) (2,-sqrt2,sqrt2) (B) (sqrt2,-1,1) (C) (sqrt2,1,1) (D) (2,sqrt2,1)

A plane passes through thee points P(4, 0, 0) and Q(0, 0, 4) and is parallel to the Y-axis. The distance of the plane from the origin is

A plane bisects the line segment joining the points (1,2,3) and (-3,4,5) at right angles. Then this plane also passes through the point

Let P be a plane passing through the points (2,1,0) (4,1,1) and (5,0,1) and R be any point (2,1,6) . Then the image of R in the plane P is :

Let P be a plane passing through the points (a,0,0),(0,b,0),(0,0,c) then the image of origin with respect to plane P is :

A variable line passing through the point P(0, 0, 2) always makes angle 60^(@) with z-axis, intersects the plane x+y+z=1 . Find the locus of point of intersection of the line and the plane.

Find the equation of the plane passing through the points (1,0,0) and (0,2,0) and c at a distance 6/7 units from the origin

The equation of the smallest circle passing through the point (1,0) and (0,1) is

Find the equation of the plane passing through the points (2,-3,1) and (-1,1,-7) and perpendicular to the plane x-2y+5z+1=0

VMC MODULES ENGLISH-THREE DIMENSIONAL GEOMETRY -JEE MAIN (ARCHIVE)
  1. If Q(0, -1, -3) is the image of the point P in the plane 3x-y+4z=2 and...

    Text Solution

    |

  2. let P be the plane, which contains the line of intersection of the pla...

    Text Solution

    |

  3. A plane passing through the points (0, –1, 0) and (0, 0, 1) and making...

    Text Solution

    |

  4. If the line, (x-1)/(2) = (y+1)/(3) = (z-2)/(4) meets the plane, x+2...

    Text Solution

    |

  5. Find the vector equation of the plane through the line of intersection...

    Text Solution

    |

  6. The length of the perpendicular from the point (2, -1, 4) on the strai...

    Text Solution

    |

  7. The magnitude of the projection of the vector 2hati+3hatj+hatk on the ...

    Text Solution

    |

  8. The equation of a plane containing the line of intersection of the pla...

    Text Solution

    |

  9. about to only mathematics

    Text Solution

    |

  10. A plane passing through three points (-lamda^2, 1, ) (1, -lamda^2, 1),...

    Text Solution

    |

  11. The perpendicular distance from the origin to the plane containing the...

    Text Solution

    |

  12. Two lines (x-3)/1 = (y+1)/3 = (z-6)/(-1) and (x+5)/7 = (y-2)/(-6) = (z...

    Text Solution

    |

  13. If the point (2 , alpha , beta) lies on the plane which passes throug...

    Text Solution

    |

  14. The plane containing the line (x-3)/2=(y+2)/(-1) =(z-1)/3 and also ...

    Text Solution

    |

  15. The direction ratios of normal of a plane passing through two points (...

    Text Solution

    |

  16. The plane which bisects the line segment joining the points (-3, -3, 4...

    Text Solution

    |

  17. On which of the following lines lies the point of intersection of the ...

    Text Solution

    |

  18. Find the plane passing through (4,-1,2) and parallel to the lines (x+2...

    Text Solution

    |

  19. Let A be a point on the line vecr=(1-3mu)hati+(mu-1)hatj+(2+5mu)hatk a...

    Text Solution

    |

  20. Equation of the plane containing the straight line (x)/(2)= (y)/(3)= (...

    Text Solution

    |