Home
Class 12
MATHS
Find the equation of the plane containin...

Find the equation of the plane containing the lines 2x-y+z-3=0,3x+y+z=5 and at a distance of `1/sqrt6` from the point (2,1,-1).

A

x + y + z - 3 = 0

B

2x - y - z - 3 = 0

C

2x - y + z + 3 = 0

D

62x + 29y + 19z - 105 = 0

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 22

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

  • NTA JEE MOCK TEST 27

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the plane containing the lines 2x-y+z-3,3x+y+z=5 and a t a distance of (1)/(sqrt(6)) from the point (2,1,-1)

Find the equation of the plane containing the line 2x+y+z-1=0, x+2y-z=4 and at a distance of 1/sqrt(6) from the point (2,1,-1).

The equation of the plane containing the line 2x-y+z-3=0 , 3x+y+z=5 and at a distance of (1)/(sqrt(6)) from the point (2,1,-1) is 62x+29y+19z-k=0. Then the sum of digits of K is

Equation of a plane passing through the lines 2x-y+z=3 and 3x+y+z=5 and which is at a distance of (1)/(sqrt(6)) from the point(2, 1, -1) is

Find the equation of plane containing the line x+y-z=0=2x-y+z and passing through the point (1,2,1)

Find the equations of the plane parallel to the plane x-2y+2z-3=0\ and which are at a unit distance from the point (1, 1, 1).

The equation of the plane containing the line 2x-5y+z=3, x+y+4z=5 and parallel to the plane x+3y+6z=1 , is

Find the equations of the planes parallel to the plane x-2y+2z-3=0 which at a unit distance from the point (1,2,3).

NTA MOCK TESTS-NTA JEE MOCK TEST 25-MATHEMATICS
  1. If any tangent to the ellipse 25x^(2)+9y^2=225 meets the coordinate ax...

    Text Solution

    |

  2. If 1/(1!11!)+1/(3!9!)+1/(5!7!)=(2^n)/(m!) then the value of m + n is

    Text Solution

    |

  3. There are 10 seats in the first row of a theatre of which 4 are to be ...

    Text Solution

    |

  4. Let the curve y = f (x) satisfies the equation (dy)/(dx)=1-1/x^2 and ...

    Text Solution

    |

  5. If a function F: RrarrR is defined as f(x)=int(x^8+4)/(x^4-2x^2+2)dx ...

    Text Solution

    |

  6. Six fair dice are rolled . The probability that the product of the num...

    Text Solution

    |

  7. If x satisfies the inequality (tan^-1x)^2+3(tan^-1x)-4gt0 , then the c...

    Text Solution

    |

  8. Let 2a+2b+c=0 , then the equation of the straight line ax + by + c = 0...

    Text Solution

    |

  9. If x,|x+a|,|x-1| are first three terms of an A.P., then the sum of its...

    Text Solution

    |

  10. The difference between the greatest and the least possible value of th...

    Text Solution

    |

  11. The value of int0^(12pi) ([sint]+[-sint])dt is equal to (where [.] de...

    Text Solution

    |

  12. For the function f(x)=sinx+2cosx,AA"x"in[0,2pi] we obtain

    Text Solution

    |

  13. Find the equation of the plane containing the lines 2x-y+z-3=0,3x+y+z=...

    Text Solution

    |

  14. If vecma,vecmband vecmc are 3 units vectors such that vecma.vecmb= ve...

    Text Solution

    |

  15. Let the points A lies on 3x-4y+1=0, the point B lines on 4 x + 3 y - 7...

    Text Solution

    |

  16. Let A+2B=[{:(2,4,0),(6,-3,3),(-5,3,5):}] and 2A-B=[{:(6,-2,4),(6,1,5),...

    Text Solution

    |

  17. Let px^4+qx^3+rx^2+sx+t=|{:(x^2+3x,x-1,x+3),(x+1,-2,x-4),(x-3,x+4,3x):...

    Text Solution

    |

  18. If S=sum(r=1)^(80)(r)/((r^4+r^2+1)) , then the value of (6481s)/(1000...

    Text Solution

    |

  19. If the equation of the tangent at the point P(3,4) on the parabola who...

    Text Solution

    |

  20. In the figure PQ PO1 and O1Q are the diameters of semicircles C1,C2 an...

    Text Solution

    |