Home
Class 12
MATHS
The plane 4x+7y+4z+81=0 is rotated throu...

The plane `4x+7y+4z+81=0` is rotated through a right angle about its line of intersection with the plane `5x+3y+10z-25=0`. Find the equation of the plane in new position.

Promotional Banner

Topper's Solved these Questions

  • MATRICES DETERMINANTS PROBABILITY

    USHA PUBLICATION|Exercise EXERCISE|59 Videos

  • PRACTICE PAPER

    USHA PUBLICATION|Exercise PRACTICE PAPER|95 Videos

Similar Questions

Explore conceptually related problems

The plane lx+my=0 is rotated about its line of intersection with the plane z=0 through angle measure alpha. Prove that the equation of the plane in new position is lx+mypmzsqrt(l^2+m^2)tanalpha=0

Find the equation of the plane Which contains the line of intersection of the planes x+2y+3z-4=0 and 2x+y-z+5=0 and perpendicular of the plane 5x+ 3y+6z+8=0 .

Find the point of intersection of the line 2x - 4= 3y = z with plane x + y + z = 13 .

How far is the point (4, 1, 1) from the line of intersection of the planes x + y + z = 4, x - 2y - z = 4.

find the point of intersection of the line through (1,3,-2) and (3,4,1) with the plane x-2y+4z=-1 .

USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. Evaluate int3^6sqrtx/(sqrt((9-x))+sqrtx)dx

    Text Solution

    |

  2. Evaluate int-1^2 {|x\|+[x]}dx

    Text Solution

    |

  3. The plane 4x+7y+4z+81=0 is rotated through a right angle about its lin...

    Text Solution

    |

  4. If G is the centroid of a triangle ABC, prove that vec(GA)+vec(GB)+vec...

    Text Solution

    |

  5. Find the image of the point (2,-1,3) in the plane 3x-2y+z-9=0

    Text Solution

    |

  6. Prove that the measure of the angle between two main diagonals of a cu...

    Text Solution

    |

  7. Show that the vectors 4hati+4hatj+ 4hatk,7hati+6hatj-hatk and 3hati+2h...

    Text Solution

    |

  8. Integrate intdx/(x^4+1)

    Text Solution

    |

  9. Solve x^2ydx-(x^3+y^3)dy=0.

    Text Solution

    |

  10. Prove by vector method that in any triangle ABC, a/sinA=b/sinB=c/sinC.

    Text Solution

    |

  11. If a line in the space makes angles alpha, beta  and gamma  with the c...

    Text Solution

    |

  12. If the mapping f and g are given by f= {(1,2), (3, 4), (5, 6), (7, 8)}...

    Text Solution

    |

  13. Prove that cos^(-1)(frac[b+acosx][a+bcosx])=2tan^(-1)(sqrt(frac[a-b][a...

    Text Solution

    |

  14. Show that the line y=mx+c touches the curve x^2/a^2-y^2/b^2 = 1 if c^2...

    Text Solution

    |

  15. Show that the shrtest distance of the point (0, 8a) from the curve ax^...

    Text Solution

    |

  16. Show that the curves y = 2^(x) and y = 5^(x) intersect at an angle tan...

    Text Solution

    |

  17. Prove the following: [[(b+c)^2,a^2,bc],[(c+a)^2,b^2,ca],[(a+b)^2,c^2...

    Text Solution

    |

  18. Find the inverse of the following matrix using elementary transformati...

    Text Solution

    |

  19. If A is a singular matrix, then what is A(adjA)?

    Text Solution

    |

  20. Give example of a function which is increasing in (-oo,2) and (3,oo) a...

    Text Solution

    |