Home
Class 11
MATHS
Verify whether the points (1, 2, -1) (-2...

Verify whether the points `(1, 2, -1) (-2,1,1)` lie on same side (or) opposite side of the plane `2x+y+z+1=0`.

Text Solution

Verified by Experts

The correct Answer is:
`pi_(111), pi_(222)`
Promotional Banner

Topper's Solved these Questions

  • PLANES

    AAKASH SERIES|Exercise SOLVED EXAMPLES|5 Videos

  • PLANES

    AAKASH SERIES|Exercise ADVANCED ANALYTICAL SOLVED EXAMPLES|10 Videos

  • PERIODICITY EXTREME VALUES AND GRAPHS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|33 Videos

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL II) (Linked Comprehension Type Questions Passage -III:)|3 Videos

Similar Questions

Explore conceptually related problems

Verify whether the points (1,2,-1),(-2,1,-1) lie on same side (or) opposite sides of the plane 2x+y+z+1=0 .

State whether the points A(3, 2), B(-4,-3) lie on the same side or opposite sides of the line 2x - 3y +4 = 0 .

State whether the points (3,2) and (-4,3) lie on the same side or opposite sides of the line 2x-3y+4=0 .

State whether the points A(2,-1),B(1,1) lie on the same or opposite sides of the line 3x+4y=6 .

If the points (1,1,-3) and (1,0, -3) lie on opposite sides of the plane x + y + 3z + d=0 then

For what values (s) of a will the two points (1,a,1) and (-3,0,a) lie on opposite sides of the plane 3x + 4y - 12z + 13=0 ?

Find the range of k if the point (1, 2, 1), (-2, 1, -1) were to be on the same side of the plane 2x+3y-kz=0 .

If the points (2,-3,5),(-1,3,2) lie on the same side of x-y+2z+k=0

AAKASH SERIES-PLANES-ADVANCED SUBJECTIVE TYPE QUESTIONS
  1. Verify whether the points (1, 2, -1) (-2,1,1) lie on same side (or) op...

    Text Solution

    |

  2. The plane 2x + 3y + kz - 7 = 0 is parallel to the line whose d.r's are...

    Text Solution

    |

  3. Find k if the plane 2x+3y+kz=7 is perpendicular to the line with d...

    Text Solution

    |

  4. Find the equation of the plane through the line of intersection of the...

    Text Solution

    |

  5. Find the equation of the plane passing through the points (0, 1,1), (1...

    Text Solution

    |

  6. Find the equations of planes through the line of intersection of the p...

    Text Solution

    |

  7. Let pi(1):2x-y+2z-6=0 and pi(2):x+2y-2z+7=0 are given two planes then ...

    Text Solution

    |

  8. Let pi(1):2x-y+2z-6=0 and pi(2):x+2y-2z+7=0 are given two planes then ...

    Text Solution

    |

  9. Let pi(1):2x-y+2z-6=0 and pi(2):x+2y-2z+7=0 are given two planes then ...

    Text Solution

    |

  10. Let pi(1):2x-y+2z-6=0 and pi(2):x+2y-2z+7=0 are given two planes then ...

    Text Solution

    |

  11. Find the equations of the planes passing through the line of intersect...

    Text Solution

    |

  12. Find the distance from the point P(3,2,-1) to the plane containing the...

    Text Solution

    |

  13. If P=(3,-4,1), Q=(4,0,2) then find the projection of bar(PQ) on the pl...

    Text Solution

    |

  14. Find the angles at which the normal line to the plane 8x-4y+z+1=0 is i...

    Text Solution

    |

  15. Find the distance of the point (1,-2,3) from the plane x-y+z=5 measure...

    Text Solution

    |

  16. Find the length and the foot of the perpendicular from the point (7, 1...

    Text Solution

    |

  17. Find the image of the point (1, 2, 3) with respect to the plane x-3y-4...

    Text Solution

    |

  18. If the planes x-cy-bz=0, cx-y+az=0 and bx+ay-z=0 pass through a line, ...

    Text Solution

    |

  19. If P be any point on the plane lx+my+nz =p and Q be a point on the lin...

    Text Solution

    |

  20. If a variable plane forms a tetrahedron of constant volume 64k^(3) wit...

    Text Solution

    |

  21. Find the shortest distance between the lines (x-3)/(3)=(y-8)/(-1)=(z-3...

    Text Solution

    |