Home
Class 12
MATHS
Find the equation of the plane that cont...

Find the equation of the plane that contains the point (1, – 1, 2) and is perpendicular to both the planes 2x + 3y – 2z = 5 and x + 2y – 3z = 8. Hence find the distance of point P(–2, 5, 5) from the plane obtained above.

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 that contains the point A(1,-1,2) and is perpendicular to both the planes 2x+3y-2z=5 and x+2y-3z=8 . Hence, find the distance of the point P(-2,5,5) from the plane obtained above

Find the equation of the plane that contains the point (1,-1,2) and is perpendicular to each of the planes 2x+3y-2z=5 and x+2y-3z=8

Find the equation of the plane through the points (2,1,1) and (1,3,4) and perpendicular to the plane x-2y+4z=10 .

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

Find the equation of the plane through the points (2,2,1) and (9,3,6) and perpendicular to the plane 2x+6y+6z=1

Find the equation of the plane throughathe points (2,-3,1) and (5,2,-1) and perpendicular to the plane x-4y+5z+2=0

Find the equation of the plane through the point (1,1,1) and perpendicular to the plane : x - 2y + z = 2, 4x + 3y -z + 1 = 0 .

Find the distance of the point (2,3,-5) from the plane x+2y-2z=9 .

Find the vector equation of the line passing through the point (1,-1,2) and perpendicular to the plane 2x-y+3z-5=0

XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Let S be the set of all rational number except 1 and * be defined ...

    Text Solution

    |

  2. Find the distance of the point P(–1, –5, –10) from the point of int...

    Text Solution

    |

  3. Find the equation of the plane that contains the point (1, – 1, 2) ...

    Text Solution

    |

  4. A cottage industry manufactures pedestal lamps and wooden shades, e...

    Text Solution

    |

  5. Find the shortest distance between the lines l1 and l2 whose vector ...

    Text Solution

    |

  6. Find a unit vector perpendicular to both of the vectors vec a+ vec b ...

    Text Solution

    |

  7. Find a vector in the direction of vector 2 hat i-3 hat j+6 hat k k whi...

    Text Solution

    |

  8. Write the projection of vector hat i+ hat j+ hat k along the vector ...

    Text Solution

    |

  9. Evaluate : int0^pi(xtanx)/(secx+tanx)dx

    Text Solution

    |

  10. Show that a cylinder of a given volume which is open at the top has...

    Text Solution

    |

  11. Find the area of the smaller region bounded by the ellipse (x^2)/9+(y^...

    Text Solution

    |

  12. Write the value of cos^(-1)(-1/2)+2sin^(-1)(1/2)

    Text Solution

    |

  13. Let R="{"a , a^3")":a is a prime number less than 5} be a relation. Fi...

    Text Solution

    |

  14. Evaluate : int0^(pi/4)tanxdx

    Text Solution

    |

  15. Evaluate : int(dx)/(sin^2xcos^2x)

    Text Solution

    |

  16. If A is a3x3 matrix, |A| != 0 and |3A|=k|A| , then write the value of ...

    Text Solution

    |

  17. If (a+4 3b8-6)=(2a b+2 8a-8b), write the value of a-2bdot

    Text Solution

    |

  18. Show that the vectors vec a , vec b , vec c are coplanar if and on...

    Text Solution

    |

  19. Five cards are drawn one by one, with replacement, from a well shuf...

    Text Solution

    |

  20. Find the intervals in which the function f(x)=3/2x^4-4x-45 x+51 is (a)...

    Text Solution

    |