Home
Class 12
MATHS
The planes 2x + 5y + 3z = 0, x-y+4z = 2 ...

The planes 2x + 5y + 3z = 0, x-y+4z = 2 and7y_5z + 4 = 0(1) Meet in point(2) Meet in a line(3) Are equidistant from origin(4) None of these

A

Meet in point

B

Meet in a line

C

Are equidistant from origin

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - C|14 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - D COMPREHENSION I|3 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - A|90 Videos

  • STRAIGHT LINES

    AAKASH INSTITUTE|Exercise SECTION-J (AAKASH CHALLENGERS QUESTIONS)|5 Videos

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Section - J (Akash Challengers Question)|15 Videos

Similar Questions

Explore conceptually related problems

The planes 2x+5y+3z=0,x-y+4z=2 and 7y_(-)5z+4=0(1) Meet in point (2) Meet in a line (3) Are equidistant from origin (4) None of these

The three planes x+y=0, y+z=0 and x+z=0 (A) meet in the unique point (B) meet in a line (C) meet taken two at a time i parallel lines (D) none of these

(i) Find the equation of the plane passing through the intersection of the planes : 2x - 7y + 4z = 3 and 3x - 5y + 4z + 11 = 0 and the point (-2, 1,3). (ii) Find the equation of plane through the intersection of planes : 3x - y + 2z - 4 = 0 and x + y + z - 2 = 0 and the point (2,2,1) .

(i) Find the equation of the plane passing through (1,-1,2) and perpendicular to the planes : 2 x + 3y - 2z = 5 , x + 2y - 3z = 8 . (ii) find the equation of the plane passing through the point (1,1,-1) and perpendicular to each of the planes : x + 2y + 3z - 7 = 0 and 2x - 3y + 4z = 0 . (iii) Find the equation of the plane passing through the point (-1,-1,2) and perpendicular to the planes : 3x + 2y - 3z = 1 and 5x - 4y + z = 5.

Show that the points (1,-1,3) and (3, 4, 3) are equidistant from the plane 5x +2y + -7z + 8 = 0.

Are the lines 3x-2y+z+5=0=2x+3y+4z-4 and (x+4)/3=(y+6)/5=(z-1)/(-2) coplanar. If yes find their point of intersection and equation of the plane which they lie.

The plane x + 3y + 13 = 0 passes through the line of intersection of the planes 2x - 8y + 4z = p and 3x - 5y + 4z + 10 = 0 If the plane is perpendicular to the plane , 3x - y - 2z - 4 = 0 then the value of p is equal to

AAKASH INSTITUTE-THREE DIMENSIONAL GEOMETRY -ASSIGNMENT SECTION - B
  1. The equation of the plane which passes through the points (2, 1, -1)...

    Text Solution

    |

  2. Find the image of the point (1,3,4) in the plane 2x-y+z+3=0.

    Text Solution

    |

  3. Length of the perpendicular from origin to the plane passing through...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. The position vectors of points A and B are hati - hatj + 3hatk and 3h...

    Text Solution

    |

  7. Find the vector equation to the plane through the point (2,1,-1) pass...

    Text Solution

    |

  8. बिंदु (1,2,-4) से जाने वाली और दोनों रेखाओ (x-8)/(3)=(y+19)/(-16)...

    Text Solution

    |

  9. The line x + 2y - z - 3 = 0 = x + 3y - 2 - 4 is parallel to

    Text Solution

    |

  10. The shortest distance between the lines 2x + y + z - 1 = 0 = 3x + y + ...

    Text Solution

    |

  11. The lines x + y + z - 3 = 0 = 2x - y + 5z - 6 and x - y - z + 1 = 0 = ...

    Text Solution

    |

  12. The line vecr= veca + lambda vecb will not meet the plane vecr cdot ...

    Text Solution

    |

  13. The plane vecr cdot vecn = q will contain the line vecr = veca + lambd...

    Text Solution

    |

  14. Two system of rectangular axes have the same origin. If the plane cu...

    Text Solution

    |

  15. Perpendicular distance of the point (1, 2, 3) from the line (x-6)/3=(...

    Text Solution

    |

  16. A variable plane is at a constant distance p from the origin and meets...

    Text Solution

    |

  17. The planes 2x + 5y + 3z = 0, x-y+4z = 2 and7y5z + 4 = 0(1) Meet in poi...

    Text Solution

    |

  18. Let vecn be a unit vector perpendicular to the plane containing the ...

    Text Solution

    |

  19. The co-ordinates of the point P on the line vecr =(hati +hatj + hatk...

    Text Solution

    |

  20. The projection of the line segment joining the Points (1, 2, 3) and ...

    Text Solution

    |