Home
Class 12
MATHS
Find the distance of the point P(6,5,9) ...

Find the distance of the point P(6,5,9) from the plane determined by the points `A(3,-1,2),\ B(5,2,4)` and `C(-1,\ -1,\ 6)dot`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • EXAM REVISION SERIES

    XII BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise All Questions|19 Videos

Similar Questions

Explore conceptually related problems

Find the distance between the point P(6, 5, 9) and the plane determined by the points A (3, -1, 2) , B (5, 2, 4) and C( -1, -1, 6) .

Find the distance between the point P(6, 5, 9) and the plane determined by the points A (3, 1, 2) , B (5, 2, 4) and C( 1, 1, 6) .

Find the equation of a plane passing through the point P(6,\ 5,\ 9) and parallel to the plane determined by the points A(3,\ -1,\ 2)B(5,\ 2,\ 4)a n d\ C(-1,\ -1,\ 6)dot Also find the distance of this plane from the point A.

Find the distance between the point (7,2,4) and the plane determined by the points a(2,5,-3),B(-2,-3,5) and C(5,3,-3)dot

Find the equation of the plane determined by the points (A(3,-1,\ 2),\ B(5,2,4) and C(-1,\ -1,\ 6)dot Also find the distance of the point P(6,5,9) from the plane.

Find the distance of the point (-1, 1) from the line 12(x+6)=5(y-2) .

Find the distance of the point (-1, 1) from the line 12(x+6)=5(y-2) .

Find the distance of the point (1, 1) from the line 12(x + 6) = 5(y - 2) .

Find the distance of the point P(-1,-5,-10) from the point of intersection of the line joining the points A(2,-1,2)a n dB(5,3,4) with the plane x-y+z=5.

Show that the line joining the origin to the point (2,1,1) is perpendicular to the line determined by the points (3,5,-1) and (4,3,-1)dot

XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Solve the following differential equation: cos^2x(dy)/(dx)+\ y=tanx

    Text Solution

    |

  2. Solve the following differential equation: x(dy)/(dx)=y-xtan(y/x)

    Text Solution

    |

  3. Find the distance of the point P(6,5,9) from the plane determined b...

    Text Solution

    |

  4. If matrix A=[[1,-1],[-1 ,1]] and A^2=k A , then write the value of k

    Text Solution

    |

  5. Find the points on the line (x+2)/3=(y+1)/2=(z-3)/2\ at a distance ...

    Text Solution

    |

  6. Evaluate: int(x^4\ dx)/((x-1)(x^2+1))

    Text Solution

    |

  7. If y=cos^(-1)((3x+4\ sqrt(1-x^2))/5), find(dy)/(dx)

    Text Solution

    |

  8. Evaluate the following: int1^2(5x^2)/(x^2+4x+3)\ dx

    Text Solution

    |

  9. If y=e^(asin^(-1)x)\ ,\ -1\ lt=x\ lt=1, then show that (1-x^2)\ (d^...

    Text Solution

    |

  10. Find the coordinates of the foot of the perpendicular and the perpen...

    Text Solution

    |

  11. A bag contains 4 balls. Two balls are drawn at random, and are foun...

    Text Solution

    |

  12. One kind of cake requires 300g of flour and 15g of fat, another kin...

    Text Solution

    |

  13. If the length of three sides of a trapezium other than the base is 1...

    Text Solution

    |

  14. Using matrix method, solve the following system of equations: 2/x+...

    Text Solution

    |

  15. Using elementary transformations, find the inverse of the matrix [[1...

    Text Solution

    |

  16. Solve the following differential equation: [(e^(-2\ sqrt(x)))/(sqrt(x)...

    Text Solution

    |

  17. Solve the following differential equation: 3e^xtany\ dx+(2-e^x)sec^2y\...

    Text Solution

    |

  18. Using properties of determinants, prove that |[a, a+b, a+b+c],[2a,3...

    Text Solution

    |

  19. Write the direction cosines of a line parallel to z-axis.

    Text Solution

    |

  20. If f(x)=(4x+3)/(6x-4),\ x\ !=2/3, show that fof(x)=x for all x!=2/3dot...

    Text Solution

    |