Home
Class 12
MATHS
A plane P = 0 passing through the point ...

A plane P = 0 passing through the point (1, 1, 1) is perpendicular to the planes `2x-y+2z=5` and `3x+6y-2z=7`. If the distance of the point (1, 2, 3) from the plane P = 0 is k units, then the value of `34k^(2)` is equal to

A

`(8)/(sqrt(17))`

B

16

C

64

D

128

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 45

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

  • NTA JEE MOCK TEST 47

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

The equation of the plane passing through the point (1,1,1) and perpendicular to the planes 2x+y-2z=5 and 3x-6y-2z=7 is

A plane passes through (1, -2, 1) and is perpendicular to two planes 2x-2y+z=0 and x-y+2z=4. The distance of the plane from the point (0, 2, 2) is

The equation of the plane passing through the point (1,2,-3) and perpendicular to the planes 3x+y-2z=5 and 2x-5y-z=7 is

The equation of the plane passing through the point (1,2,-3) and perpendicular to the planes 3x+y-2z=5 and 2x-5y-z=7 ,is

A plane passes through (1,-2,1) and is perpendicualr to two planes 2x-2y+z=0" and "x-y+2z=4, then the distance of the plane from the point (1,2,2) is

The line passing through the point -1, 2, 3 and perpendicular to the plane x - 2y + 3z + 5 = 0 will be

NTA MOCK TESTS-NTA JEE MOCK TEST 46-MATHEMATICS
  1. The value of lim(xrarr0)(secx+tanx)^(1)/(x) is equal to

    Text Solution

    |

  2. The minimum value of the function f(x)=(tanx)/(3+2tanx), AA x in [0, (...

    Text Solution

    |

  3. The solution of the differential equation y(sin^(2)x)dy+(sinxcosx)y^(2...

    Text Solution

    |

  4. The negation of (~p ^^ q) vv (p ^^ ~ q) is

    Text Solution

    |

  5. If f(x)={{:(e^(|x|+|x|-1)/(|x|+|x|),":",xne0),(-1,":",x=0):} (where [...

    Text Solution

    |

  6. If int(dx)/(x^(2)+x)=ln|f(x)|+C (where C is the constant of integratio...

    Text Solution

    |

  7. Let veca=2hati+3hatj+4hatk, vecb=hati-2hatj+jhatk and vecc=hati+hatj-h...

    Text Solution

    |

  8. The chords passing through (2, 1) intersect the hyperbola (x^(2))/(16)...

    Text Solution

    |

  9. If |(cos theta,-1,1),(cos2 theta,4,3),(2,7,7)|=0, then the number of v...

    Text Solution

    |

  10. A box contains x red balls and 10 black balls. 3 balls are drawn one b...

    Text Solution

    |

  11. The equation of the external bisector of angleBAC" to "DeltaABC with v...

    Text Solution

    |

  12. Chord joining two distinct point P(a, 4b) and Q(c, -(16)/(b)) (both ar...

    Text Solution

    |

  13. A plane P = 0 passing through the point (1, 1, 1) is perpendicular to ...

    Text Solution

    |

  14. Let the complex numbers Z(1), Z(2) and Z(3) are the vertices A, B and ...

    Text Solution

    |

  15. Let A be the centre of the circle x^(2)+y^(2)-2x-4y-20=0. If the tange...

    Text Solution

    |

  16. If the coefficient of x^(6) in the expansion of (2+x)^(3)(3+x)^(2)(5+x...

    Text Solution

    |

  17. The maximum value of x that satisfies the equation sin^(-1)((2sqrt(15)...

    Text Solution

    |

  18. The number of all possible symmetric matrices of order 3xx3 with each ...

    Text Solution

    |

  19. The mean of 40 observations 20 and their standard deviation is 5. If t...

    Text Solution

    |

  20. If I(n)=(d^(n))/(dx^(n))(x^(n)lnx), then the value of (1)/(50)(I(7)-7I...

    Text Solution

    |