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

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

Promotional Banner

Topper's Solved these Questions

  • CUET MOCK TEST 2022

    XII BOARDS PREVIOUS YEAR|Exercise Question|49 Videos

Similar Questions

Explore conceptually related problems

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

Find the vector equation of the point determined by the points A (3,-1,2), B (5, 2, 4) and C (-1, -1, 6) Hence, find the distance of the plane, thus obtained, from the origin.

Find the equation of the plane through the points A(3, 2, 0), B(1, 3, -1) and C(0, -2, 3).

Find the equation of the plane containing the points P(2, 3, -1), Q(6, -1, 0) and R(3, 1, 4).

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)

Find the equation of a plane passing through the pint 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.

(i) 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). (ii) 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,) .

Find the equation of the plane through the points A(2,2,-1),B(3,4,2) and C(7,0,6.)

Find the vector equation of the plane passing through the points (1, 1, 1), (2, 4, 3) and (5,9,7).

Find the vector equation of the plane passing through the points (1, 1, -1), (6, 4, -5) and (-4, -2, 3).

XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Using the method of integration, find the area of the region bounde...

    Text Solution

    |

  2. Using properties of determinants, prove that |(b+c,q+r,y+z),(c+a,r+p,z...

    Text Solution

    |

  3. Find the equation of the plane determined by the points A(3, –1, 2)...

    Text Solution

    |

  4. Let A=R-{3} and B=R-[1]dot Consider the function f: AvecB defined by f...

    Text Solution

    |

  5. Show that the height of a closed right circular cylinder of given s...

    Text Solution

    |

  6. If [(9,-1,4),(-2,1,3)]=A+[(1,2,-1),(0,4,9)], then find the matrix A.

    Text Solution

    |

  7. If |(x+1,x-1),(x-3,x+2)|=|(4,-1),(1,3)|, then write the value of x .

    Text Solution

    |

  8. If vec a=x hat i+2 hat j-\ z hat k and vec b=3 hat i-\ y hat j+ hat ...

    Text Solution

    |

  9. Write the degree of the differential equation x^3((d^2y)/(dx^2))^2+x\ ...

    Text Solution

    |

  10. Prove the following: tan^(-1)x+tan^(-1)((2x)/(1-x^2))=tan^(-1)((3x-x^3...

    Text Solution

    |

  11. Find the value of a if [(a-b,2a+c),(2a-b,c+d)]=[(-1,5),(0,13)]

    Text Solution

    |

  12. Prove the following: "cos"{tan^(-1){sin(cot^(-1)x)}}= sqrt((1+x^2)/(...

    Text Solution

    |

  13. Find the Cartesian equation of the line which passes through the po...

    Text Solution

    |

  14. If a unit vector vec a makes angles pi/3 with hat i ,pi/4 with hat ...

    Text Solution

    |

  15. Find | vec x| , if for a unit vector vec a ,\ ( vec x- vec a)*( vec ...

    Text Solution

    |

  16. Find the length of the perpendicular drawn from the origin to the p...

    Text Solution

    |

  17. Find the vector equation of the plane passing through three points ...

    Text Solution

    |

  18. Write the principal value of tan^(-1)sqrt(3)-cot^(-1)(-sqrt(3)) .

    Text Solution

    |

  19. Write the value of tan^(-1)[2sin(2cos^(-1)(sqrt(3/2))] .

    Text Solution

    |

  20. For what value of x is the matrix A=[(0,1,-2),(1,0,3),(x,3,0)] a skew-...

    Text Solution

    |