Home
Class 12
MATHS
The direction ratios of a normal to t...

The direction ratios of a normal to the plane through `(1,0,0)a n d(0,1,0)` , which makes and angle of `pi/4` with the plane `x+y=3,` are a. `<<1,sqrt(2),>>` b. `<<1,1,sqrt(2)>>` c. `<<1,1,2>>` d. `<>`

A

1,1,2

B

`sqrt""2,1,1`

C

`1,sqrt""2,1`

D

`1,1,sqrt""2`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CO-ORDINATE GEOMETRY OF THREE DIMENSION

    ML KHANNA|Exercise PROBLEM SET (4)|19 Videos

  • CO-ORDINATE GEOMETRY OF THREE DIMENSION

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE(TRUE AND FALSE)|27 Videos

  • CO-ORDINATE GEOMETRY OF THREE DIMENSION

    ML KHANNA|Exercise PROBLEM SET (2)|12 Videos

  • BINOMIAL THEOREM AND MATHEMATICAL INDUCTION

    ML KHANNA|Exercise Self Assessment Test |35 Videos

  • COMPLEX NUMBERS

    ML KHANNA|Exercise Assertion / Reason |2 Videos

Similar Questions

Explore conceptually related problems

The dr.of normal to the plane through (1,0,0),(0,1,0) which makes an angle (pi)/(4) with plane,x+y=3 are

The direction ratios of a normal to the plane through (1,0,0)a n d(0,1,0) , which makes and angle of pi/4 with the plane x+y=3, are a. <<1,sqrt(2),1 >> b. <<1,1,sqrt(2)>> c. <<1,1,2>> d. << sqrt(2),1,1>>

The driection ratios of normal to the plane through the points (0, -1, 0) and (0, 0, 1) and making an angle pi//4 with the plane y-z+5=0 are

The direction cosines of the normal to the plane 5y+4=0 are

The direction ratios of a normal to the plane passing throuhg (0,0,1) ,(0,1,2) and (1,2,3) are proportional to

What are the direction ratios of normal to the plane 2x-y+2z+1=0 ?

What are the direction ratios of normal to the plane 2x-y+2z+1=0 ?

Find the direction cosines of the normal to the plane 3x+4=0 .

The direction cosines of any normal to the xy-plane are (A) 1,0,0 (B) 0,1,0 (C) 1,1,0 (D) 0,01

ML KHANNA-CO-ORDINATE GEOMETRY OF THREE DIMENSION-PROBLEM SET (3)
  1. Find the vector equation of the plane through the points (2,1,-1) and ...

    Text Solution

    |

  2. The direction ratios of a normal to the plane through (1,0,0)a n d(...

    Text Solution

    |

  3. The two points(1,1,1) and (-3,0,1) with respect to the plane 3x+4y-12z...

    Text Solution

    |

  4. The equation of the plane passing through (2,3,-4) and (1,-1,3) and pa...

    Text Solution

    |

  5. Equation of the line passing through the point (1,2,3) and parellel to...

    Text Solution

    |

  6. The equation of the plane through the line of intersection of planes a...

    Text Solution

    |

  7. The equation of the plane containing the line (x-alpha)/l=(y-beta)/m=(...

    Text Solution

    |

  8. The point at which the line joining the points (2, -3, 1) and (3, -4, ...

    Text Solution

    |

  9. If the line (x-4)/(1)=(y-2)/(1)=(z-k)/(2) lies exactly on the plane 2x...

    Text Solution

    |

  10. Distance of the point of intersection of the line (x-2)/3=(y+1)/4=(z-2...

    Text Solution

    |

  11. The direction cosines of a line equally inclines to three mutually per...

    Text Solution

    |

  12. The equation of a plane through the line of intersection of planes 2x+...

    Text Solution

    |

  13. Two system of rectangular axes have the same origin. If a plane cuts t...

    Text Solution

    |

  14. Distance of the point (1,-2,3) from the plane x-y+z = 5 measured paral...

    Text Solution

    |

  15. The foot of perpendicular drawn from the point (1,3,4) to the plane 2x...

    Text Solution

    |

  16. The image of the point (-1, 3, 4) in the plane x-2y=0 is

    Text Solution

    |

  17. The line (x-2)/(3)=(y+1)/(2)=(z-1)/(-1) intersects the curve xy=c^2, z...

    Text Solution

    |

  18. The coordinates of the foot of the perpendicular drawn from the point ...

    Text Solution

    |

  19. If a x+b y+c z=p , then minimum value of x^2+y^2+z^2 is (p/(a+b+c))^2 ...

    Text Solution

    |

  20. The image of the point A (1,0,0) in the line (x - 1)/(2) = (x + 1)/(-3...

    Text Solution

    |