Home
Class 12
MATHS
If the point of intersection of the plan...

If the point of intersection of the plane `4x - 5y + 2z - 6 = 0` with the line through the origin and perpendicular to the plane `x- 2y - 4z = 4` is P, then the distance of the point P from (1, 2,3) is

A

`sqrt(63)` units

B

8 units

C

`sqrt(65)` units

D

`sqrt(72)` units

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • JEE MOCK TEST 2

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos
  • JEE MOCK TEST 21

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

The point of intersection of the plane 3x-5y+2z=6 with the straight line passing through the origin and perpendicular to the plane 2x-y-z=4 is

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

The plane x + 3y + 13 = 0 passes through the line of intersection of the planes 2x - 8y + 4z = p and 3x - 5y + 4z + 10 =0 . If the plane is perpendicular to the plane 3x - y - 2z - 4 = 0 , then the value of p is equal to

The plane x + 3y + 13 = 0 passes through the line of intersection of the planes 2x - 8y + 4z = p and 3x - 5y + 4z + 10 = 0 If the plane is perpendicular to the plane , 3x - y - 2z - 4 = 0 then the value of p is equal to

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

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 . Also find the distance of the plane so obtained from the origin.

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 Then find the distance of plane thus obtained from the point A(1,3,6) .

NTA MOCK TESTS-JEE MOCK TEST 20-MATHEMATICS
  1. Let P and Q are two points in the xy plane on the curve y = x^(11) - 2...

    Text Solution

    |

  2. If the letters of the word REGULATIONS be arranged at random, find ...

    Text Solution

    |

  3. If the point of intersection of the plane 4x - 5y + 2z - 6 = 0 with th...

    Text Solution

    |

  4. The mean and variance of seven observations are 8 and 16 respectively....

    Text Solution

    |

  5. Let Delta ABC is an isosceles trianlge with AB = AC. If B = (0,a) , C ...

    Text Solution

    |

  6. Let A (0,3) and B(0,12) be two vertices of a Delta ABC where C = (x ,0...

    Text Solution

    |

  7. Consider three statements p : person 'A' passed in mathematics exam ...

    Text Solution

    |

  8. In equation (Z - 1)^(n) = Z^(n) = 1 (AA n in N) has solution, then n c...

    Text Solution

    |

  9. The solution of the differential equation (3x^(2) sin (1/x) + y) dx = ...

    Text Solution

    |

  10. The quadratic equation (1 - sintheta) x^(2)+ 2(1 - sin theta) x - 3 si...

    Text Solution

    |

  11. The minimum value of the expression 3x + 2y (AA x, y >0), where xy^(2)...

    Text Solution

    |

  12. If in the expansion of (1+ x )^(m) (1-x) ^(n) the coefficient of x and...

    Text Solution

    |

  13. Number of words that can be formed with the letters of the word ALGEBR...

    Text Solution

    |

  14. If f(k - x) + f(x) = sin x, then the value of integral I = int(0)^(k) ...

    Text Solution

    |

  15. If the difference between the number of subsets of the sets A and B is...

    Text Solution

    |

  16. For the function f(x) = sin (pi[x]) xx cos^(-1)([x]), choose the corre...

    Text Solution

    |

  17. The value of lim(x to 0) (sinx)/(3) [5/x] is equal to [where [.] rep...

    Text Solution

    |

  18. If y = tan^(-1) (x/(1 + 6x^2)) + tan^(-1) ((2x - 1)/(2x + 1)), (AA x >...

    Text Solution

    |

  19. If |3x - 1| , 3, |x - 3| are the first three terms of an arithmentic p...

    Text Solution

    |

  20. If f(x) = {(px + q, :x le 2),(x^2 - 5x + 6, : 2 < x < 3),(ax^2 + bx + ...

    Text Solution

    |