Home
Class 12
MATHS
The plane 2x – 3y + 6z - 11 = 0 makes an...

The plane 2x – 3y + 6z - 11 = 0 makes an angle `sin^(-1)alpha` with X- axis. The value of `alpha` is equal to …............

A

`(sqrt3)/(2)`

B

`(sqrt2)/(3)`

C

`2/7`

D

`3/7`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise MULTIPLE CHOICE QUESTIONS (MCQs)|173 Videos

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise TEXTBOOK IILUSTRATIONS FOR PARCTICE WORK|30 Videos

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Practice Paper - 1 (Section - D)|2 Videos

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Practice Paper - 10 (Section-D)|2 Videos

Similar Questions

Explore conceptually related problems

The plane 2x + 3y -2sqrt(3)z + 25 = 0 makes an angle.......with X-axis.

The plane x-2y + 3z= 2 makes an angle ... With Y-axis.

The plane 2x+3y+6z = 15 makes an angle of measure .........with Y-axis.

The plane 2x - 3y + 6z + 9 =0 makes an angle with positive direciton of X -axis is ........

Let L be the line of intersection of the planes 2x+3y+z=1 and x+3y+2z=2 . If L makes an angle alpha with the positive X=axis, then cosalpha equals

The angle makes by the plane 2x + 3y + 6z - 15=0 with Y-axis is ............

If the lines 2x-y+3z + 4 = 0=ax + y-z + 2 and x-3y + z=0 =x + 2y + z +1 are coplannar then the value of a is ...........

The number of integral solutions of 1/x+1/y=1/6 " with " x le y " is " 'alpha' . The value of 'alpha-6' is ……….. .

The plane passing through the intersection of the planes x+y +z =1 and 2x+3y -z + 4 = 0 and parallel to Y - axis is also passing through ....... Point.

KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-SOLUTION OF NCERT EXAMPLAR PROBLEMS (Short Answer Type Question)
  1. If the directions cosines of a line are k, k and k then ..........

    Text Solution

    |

  2. The distance of the plane barr.(2/7i+3/7j-6/7k)=1 from the origin is …...

    Text Solution

    |

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

    Text Solution

    |

  4. The reflection of the point (alpha,beta,gamma) in the xy - plane is .....

    Text Solution

    |

  5. The area of the quadrilateral ABCD, where A(0, 4, 1), B(2, 3, -1), C(4...

    Text Solution

    |

  6. The locus represented by xy + yz = 0 is .........

    Text Solution

    |

  7. The plane 2x – 3y + 6z - 11 = 0 makes an angle sin^(-1)alpha with X- a...

    Text Solution

    |

  8. A plane passes through the points (2, 0, 0) (0,3,0) and (0, 0, 4). The...

    Text Solution

    |

  9. The direction cosines of the vector 2bari + 2barj - bark are ............

    Text Solution

    |

  10. The cartesian equation of a line is (x-5)/(3)=(y+4)/(7)=(z-6)/(2).Writ...

    Text Solution

    |

  11. The vector equation of the line through the points (3, 4, -7) and (1, ...

    Text Solution

    |

  12. The cartesian equation of the plane barr.(bari+barj-bark)=2 is...........

    Text Solution

    |

  13. The unit vector normal to the plane x + 2y + 3z - 6 = 0 is (1)/(sqrt(1...

    Text Solution

    |

  14. The intercepts made by the plane 2x - 3y + 5z + 4 = 0 on the co-ordina...

    Text Solution

    |

  15. The angle between the line vecr=(5hati-hatj-4hatk)+lambda(2hati-hatj+h...

    Text Solution

    |

  16. The angle between the planes barr.(2bari-3barj+bark)=1 and barr.(i-j)=...

    Text Solution

    |

  17. The line barr = 2bari - 3barj - bark + lambda (bari - barj + 2bark) li...

    Text Solution

    |

  18. The cartesian equation of a line is (x-5)/(3)=(y+4)/(7)=(z-6)/(2).Writ...

    Text Solution

    |

  19. The equation of a line, which is parallel to 2bari + barj + 3bark and ...

    Text Solution

    |

  20. If the foot of perpendicular drawn from the origin to a plane is (5, -...

    Text Solution

    |