Home
Class 12
MATHS
The direction ratios of normal of a plan...

The direction ratios of normal of a plane passing through two points `(0,1, 0)` & `(0, 0, 1)` and makes an angle `pi/4` with the plane `y-z-5=0` are (A) `(2,-sqrt2,sqrt2)` (B) `(sqrt2,-1,1)` (C) `(sqrt2,1,1)` (D) `(2,sqrt2,1)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise MATH|21 Videos

  • LIMITS AND DERIVATIVES

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|5 Videos

Similar Questions

Explore conceptually related problems

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

Find the equation of the plane passing through the points (2,1,0),(5,0,1) and (4,1,1) .

A plane passes through the point (0,-1,0) and (0,0,1) and makes an angle of (pi)/(4) with the plane y-z=0 then the point which satisfies the desired plane is

Find the vector equation of a plane passing through three points A(0, 0, 2), B(1, -1, 1), C(3, 4, 5) .

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 equation of the plane which passes through the points (2, 1, -1) and (-1, 3, 4) and perpendicular to the plane x- 2y + 4z = 0 is

Find the equation of plane passing through the point (-1,1,2) and parallel to the plane x + 2y + 3z - 5 = 0.

Find the vector equation of the line passing through the point (1,-1,2) and perpendicular to the plane 4x-2y-5z-2=0.

Find the equation of the sphere passing through the points (3,0,0), (0,-1,0), (0,0,-2) and whose centre lie on plane 3x +2y+4z = 1

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>>

JEE MAINS PREVIOUS YEAR ENGLISH-JEE MAINS-All Questions
  1. if sum of two sides of a triangle is x and the product of those sides ...

    Text Solution

    |

  2. The locus of mid points of intercept made by tangents between co-ordin...

    Text Solution

    |

  3. The direction ratios of normal of a plane passing through two points (...

    Text Solution

    |

  4. The value of r for which .^(20)C(r)xx.^(20)C(0)+.^(20)C(r-1)xx.^(20)C(...

    Text Solution

    |

  5. The straight line x+2y=1 meets the coordinate axes at A and B. A circl...

    Text Solution

    |

  6. Two circles with equal are intersecting at the points (0, 1) and (0,-1...

    Text Solution

    |

  7. The system of linear equations x+2y+4z=a, 3x-y+5z=b, 2x-3y+z=c have mo...

    Text Solution

    |

  8. Let a1, a2, a3, ?a10 are in G.P. if a3/a1 =25 then a9/a5 is equal to ...

    Text Solution

    |

  9. If alpha, beta are roots of x^2 sintheta-(costhetasintheta+1)x+costhet...

    Text Solution

    |

  10. If (cot^-1 x)^2−7(cot^-1 x)+10 > 0 then range of x will be (A) (-oo,c...

    Text Solution

    |

  11. In a hyperbola, length of minor axis is 5 and distance between focii i...

    Text Solution

    |

  12. y^2+4(x−a^2)=0. One of the vertexes of Delta'(Delta) is a vertex of ...

    Text Solution

    |

  13. A circle cuts a chord of length 4a on the x-axis and passes through a ...

    Text Solution

    |

  14. The centre of an ellipse is at origin and its major axis coincides wit...

    Text Solution

    |

  15. Given ABCD is a parallelogram wilth vertices as A(1,2),B(3,4) and C(2,...

    Text Solution

    |

  16. A function f:(0,oo) -> [0,oo] is given by f(x)=|1-1/x| , then f(x) is ...

    Text Solution

    |

  17. Find y(x), if it satisfies the following differential equation (dy)/(d...

    Text Solution

    |

  18. The integral int(pi//6)^(pi//4)dx/(sin2x(tan^5x+cot^5x))equal

    Text Solution

    |

  19. If the curve C is given by the relation y=x^2 +1. Then the area enclos...

    Text Solution

    |

  20. If for a non constant A.P. t19=0. Then the ratio of t49:t29 is ...

    Text Solution

    |