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

  • DIRECTION COSINES AND DIRECTION RATIOS

    RD SHARMA ENGLISH|Exercise All Questions|90 Videos

  • HIGHER ORDER DERIVATIVES

    RD SHARMA ENGLISH|Exercise All Questions|179 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

RD SHARMA ENGLISH-FUNCTION-All Questions
  1. Let f: RvecR and g: RvecR be defined by f(x)=x^2 and g(x)=x+1. Show ...

    Text Solution

    |

  2. Let R^+ be the set of all non-negative real numbers. if f: R^+ rar...

    Text Solution

    |

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

    Text Solution

    |

  4. Let f: RrarrR and g: RrarrR be defined by f(x)=x+1 and g(x)=x-1....

    Text Solution

    |

  5. Show that the exponential function f: R to R , given by f(x)=e^x , i...

    Text Solution

    |

  6. Let A="{"-1,0,1")"a n df={(x , x^2): xA}dot Show that f: AvecA is neit...

    Text Solution

    |

  7. If f: AvecB is an injection such that range of f={a}dot Determine t...

    Text Solution

    |

  8. Which of the following functions from AtoB are one-one and onto? ...

    Text Solution

    |

  9. Prove that the function F : NtoN , defined by f(x)=x^2+x+1 is one-on...

    Text Solution

    |

  10. Let A be any non-empty set. Then, prove that the identity function on ...

    Text Solution

    |

  11. Let A=R-[2] \ a n d \ B=R-[1]. If f: A->B is a mapping defined by f(x)...

    Text Solution

    |

  12. Show that if f1a n df1 are one-one maps from RtoR , then the pro...

    Text Solution

    |

  13. Give examples of two one-one functions f1 and f2 from R to R such t...

    Text Solution

    |

  14. If f,g: R -R are defined respectively by f(x)=x^2+3x+1,g(x)=2x-3, fi...

    Text Solution

    |

  15. If the function f: RvecR be given by f(x)=x^2+2a n dg: RvecR be given ...

    Text Solution

    |

  16. If the function fa n dg are given by f={(1,2),(3,5),(4,1)}a n dg="("(2...

    Text Solution

    |

  17. Suppose f1a n df2 are non=zero one-one functions from RtoRdot is (f...

    Text Solution

    |

  18. Find whether the following functions are one-one or not: f: Rvecgi...

    Text Solution

    |

  19. If the function f and g are given by f={(1,2),(3,5),(4,1)} and g={(2,...

    Text Solution

    |

  20. Discuss the surjectivity of the following functions: f: R-> given by ...

    Text Solution

    |