Home
Class 12
MATHS
Find the equation of the plane Passing t...

Find the equation of the plane Passing through the intersection of the planes `x+3y-z+1=0` and `3x-y+5z+3=0` and is at a distance `2//3`units from origin.

Promotional Banner

Topper's Solved these Questions

  • TEST PAPER 7

    MODERN PUBLICATION|Exercise EXERCISE|39 Videos

  • TEST PAPER 9

    MODERN PUBLICATION|Exercise EXERCISE|37 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the plane passing through the intersection of the planes 3x + y- z = 2 and x-y + 2z =1and the point (1, 0,2)

Find the equation of the plane passing through the intersection of the plane x + 2y + 3z - 4 = 0 and 5x + 3y + 6z + 8 = 0.

Find the equation of the plane passing through the intersection of the planes 2x + y + 3z-7=0 and 2x + 5y + 3z - 9 = 0 and the point (2,1,3).

Find the equation of the plane Passing through the intersection of planes 2x+3y-4z+1=0.2x-y+z+2=0 and passing through the point (3,2,1).

Find the equation of the plane passing through the line of intersection of the planes. x + 3y + 6 = 0 , 3x - y - 4z = 0 and the point (1,1,1) .

Write the equation of the plane through origin and passing through the intersection of the planes 3x-2y+z-1=0 and x-2y+3z-1=0

Find the equation of the plane passing through the line x = y = z and the point (3,2,1).

MODERN PUBLICATION-TEST PAPER 8-EXERCISE
  1. If y=e^(ax)sinbx show that y2-2ay1+(a^2+b^2)y=0.

    Text Solution

    |

  2. Prove the inequality x^2e^(-x^2) le e^(-1),x in R.

    Text Solution

    |

  3. Find the interval in which y=(x-1)^2(x+2) is : (i) increasing (ii)...

    Text Solution

    |

  4. Evaluate : int dx/(x(x^4+1))

    Text Solution

    |

  5. Evaluate : int dx/sqrt (x^2+8x)

    Text Solution

    |

  6. Evaluate : int(0)^(pi/2) e^x cos x dx .

    Text Solution

    |

  7. From the differential equation whose general solution is y=asint+be^t.

    Text Solution

    |

  8. Find the unit vector perpendicular to the plane ABC, where the positio...

    Text Solution

    |

  9. Show that (vec(a)-vec(b))xx(vec(a)+vec(b))=2(vec(a)xxvec(b)).

    Text Solution

    |

  10. The direction cosines of a straight line in two neighbouring positions...

    Text Solution

    |

  11. Find the equation of the plane Passing through the intersection of the...

    Text Solution

    |

  12. Find the equation of the straight line perpendicular to the line (x-2)...

    Text Solution

    |

  13. Exaniming consistency and solvability, solve the following equations b...

    Text Solution

    |

  14. Prove [[a^3-x^3,a^2,a],[b^3-x^3,b^2,b],[c^3-x^3,c^2,c]] = (a-b)(a-c)(b...

    Text Solution

    |

  15. (i) If x=sin t, y=sin 2t then prove that (1-x^2)d^2y/dx^2-xdy/dx+4y=0....

    Text Solution

    |

  16. Show that the radius of the right cicular cylinder of greatest curved ...

    Text Solution

    |

  17. Find the solution of the differential equation x sin (y/x)dy =(y sin...

    Text Solution

    |

  18. Find the area of the region included between the parabola y^(2)=2x and...

    Text Solution

    |

  19. A variable plane is at a constant distance p from the origin and meets...

    Text Solution

    |

  20. (i) If the vectors vec a+vec b+vec c = 0 |vec a|=3,|vec b|=5 and |vec ...

    Text Solution

    |