Home
Class 12
MATHS
Let L be the line of intersection of t...

Let L be the line of intersection of the planes `2x""+""3y""+""z""=""1` and `x""+""3y""+""2z""=""2` . If L makes an angles ` alpha ` with the positive x-axis, then cos` alpha ` equals

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    CENGAGE ENGLISH|Exercise MATRIX MATCH TYPE|9 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    CENGAGE ENGLISH|Exercise Comprehension Type|2 Videos

Similar Questions

Explore conceptually related problems

Find the equation of line of intersection of the planes 3x-y+ z=1 and x + 4 y -2 z =2.

Find the equation of the plane through the line of intersection of the planes x" "+" "y" "+" "z" "=" "1 and 2x" "+" "3y" "+" "4z" "=" "5 which is perpendicular to the plane x" " +" "y" "+" "z" "=" "0 .

If the plane 2x-3y+6z=11 makes an angle sin^(-1) (alpha) with the x-axis , then the value of alpha is

The equation of the plane through the intersection of the planes x+y+z=1 and 2x+3y-z+4 = 0 and parallel to x-axis is

The equation of the plane through the intersection of the planes x+y+z=1 and 2x+3y-z+4 = 0 and parallel to x-axis is

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

The equation of a plane passing through the line of intersection of the planes x+2y+3z = 2 and x - y + z = 3 and at a distance 2/sqrt 3 from the point (3, 1, -1) is

The equation of a plane passing through the line of intersection of the planes x+2y+3z = 2 and x -y+z = 3 and at a distance 2/ √ 3 from the point (3, 1, -1) is ?

Find the equation of the plane through the line of intersection of the planes x + y + z = 1 and 2x + 3y + 4z = 5, which is perpendicular to the plane x - y + z = 0.

Find the equation of plane through the line of intersection of the planes 3x – 4y + 5z = 10, 2x +2y-3z=4 and parallel to the line x=2y=3z

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. If the difference between the roots of the equation x^2+""a x""+""1...

    Text Solution

    |

  2. Express the polar equation r=2costheta in rectangular coordinates.

    Text Solution

    |

  3. Let L be the line of intersection of the planes 2x""+""3y""+""z""=""...

    Text Solution

    |

  4. Convert rsintheta=rcostheta+4 into its equivalent Cartesian equatio...

    Text Solution

    |

  5. Convert r=cos e ctheta e^(rcostheta) into its equivalent Cartesian e...

    Text Solution

    |

  6. A particle just clears a wall of height b at distance a and strikes...

    Text Solution

    |

  7. Convert the following polar coordinates to its equivalent Cartesian...

    Text Solution

    |

  8. If (2, 3, 5) is one end of a diameter of the sphere x^2+""y^2+""z^2...

    Text Solution

    |

  9. Convert r=4tanthetasectheta into its equivalent Cartesian equation.

    Text Solution

    |

  10. Given the equation 4x^2+2sqrt(3)x y+2y^2=1 . Through what angle should...

    Text Solution

    |

  11. The equation of a curve referred to a given system of axes is 3x^2+...

    Text Solution

    |

  12. Determine x so that the line passing through (3,4) and (x ,5) makes ...

    Text Solution

    |

  13. What does the equation 2x^2+4x y-5y^2+20 x-22 y-14=0 become when re...

    Text Solution

    |

  14. Shift the origin to a suitable point so that the equation y^2+4y+8x...

    Text Solution

    |

  15. At what point should the origin be shifted if the coordinates of a ...

    Text Solution

    |

  16. Find the equation to which the equation x^2+7x y-2y^2+17 x-26 y-60=0...

    Text Solution

    |

  17. The equation of curve referred to the new axes, axes retaining thei...

    Text Solution

    |

  18. If the point (2,3),(1,1), and (x ,3x) are collinear, then find the val...

    Text Solution

    |

  19. Which line is having the greatest inclination with the positive dire...

    Text Solution

    |

  20. Find the orthocentre of Delta A B C with vertices A(1,0),B(-2,1), ...

    Text Solution

    |