Home
Class 12
MATHS
Find the equations of the plane through ...

Find the equations of the plane through the intersection of the planes `vecr.(hati-1hatj)=-6` and `vecr.(3hati+3hatj-4hatk)=0`, whose perpendicular distance form the origin is unity.

Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    PRADEEP PUBLICATION|Exercise EXERCISE|373 Videos

  • RELATIONS AND FUNCTIONS

    PRADEEP PUBLICATION|Exercise EXERCISE|401 Videos

  • VECTORS

    PRADEEP PUBLICATION|Exercise EXERCISE|438 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the plane passing through the line of intersection of the planes : vecr*(hati+3hatj)-6=0 and vecr*(3hati-hatj-4hatk)=0 , whose perpendicular distance form origin is unity.

Find the vector equation of the plane passing through the intersection of the planes vecr.(hati+hatj+hatk) =6 and vecr.(2hati+3hatj+4hatk)=-5 and point (1,1,1)

Find the vector equation of the plane passing through the intersection of the planes : vecr*(2hati-hatj+2hatk)=2 and vecr*(3hati+hatj-2hatk)=-2 and perpendicular to the veca=5hati-2hatj+3hatk .

Find the equation of the plane which contain the line of intersection of the plane vecr.(hati+2hatj+3hatk)-4=0 and vecr.(2hati+hatj-hatk)+5=0 and which is perpendicular to the plane 5x+3y-6z+8=0 .

Find the angle between the planes: vecr.(hati+hatj)=1 and vecr.(hati+hatk)=3 .

Find the vector equation of the plane passing through the intersection of the planes vecr cdot (hati+hatj+hatk) = 6 and vecr cdot(2hati + 3hatj+4hatk) = -5 , and the point (1, 1, 1).

Find the vector equation of the plane through the planes : vecr*(hati+hatj+hatk)=6 and vecr*(2hati+3hatj+4hatk)=-5 at the point (1,1,1).

Find the equations of the plane which contains the line of intersections of the planes vecr.(hati-2hatj+3hatk)-4=0 and vecr.(-2hati+hatj+hatk)+5=0 and whose intercept on x-axis is equal to the on y-axis.

Find the equation of the plane passing through the line of intersection of the planes vecr cdot (hati+hatj+hatk) = 1 and vecr cdot(2hati+3hatj-hatk)+4 = 0 and parallel to x-axis.

Find the acute angle between the planes vecr.(hati+2hatj-hatk)=3 and vecr.(2hati-hatj+2hatk)=2 .

PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Find the angle between the lines: x-2y+z=0=x+2y-2z and x+2y+z=0=3x+9y+...

    Text Solution

    |

  2. Prove that the lines x=py+q, z=ry+s and x=p'y+q'z=r'y+s' are at right ...

    Text Solution

    |

  3. Find the equations of the plane through the intersection of the planes...

    Text Solution

    |

  4. Find the equations of the plane which contains the line of intersectio...

    Text Solution

    |

  5. If a line makes angles of 90^@,60^@ and theta with the x, y and z axis...

    Text Solution

    |

  6. Name the locus of the equation x^2+y^2=0.

    Text Solution

    |

  7. What is the locus of the equations x^2+y^2+z^2=0?

    Text Solution

    |

  8. Write the direction cosines of the Y-axis.

    Text Solution

    |

  9. What is the shortest distance between two intersecting lines?

    Text Solution

    |

  10. Direction cosines of hat i are ‘

    Text Solution

    |

  11. Write down direction cosines of the line (1-x)/1=(y-2)/1=(z-3)/1.

    Text Solution

    |

  12. What is the angle between the planes x+y=0 and z=0.

    Text Solution

    |

  13. Name the surface represented by the equation ax+by+cz+d=0, where a^2+b...

    Text Solution

    |

  14. Write the attitude numbers of the plane 2x-3y+4z-13=0.

    Text Solution

    |

  15. Find p if the planes 2x+3y+6z-13=0 and 6x+py-3z=0 are at right angles.

    Text Solution

    |

  16. Find lambda if the lines x/6=y/2=z/-3 and x/p=y/-6=z/2 are at right an...

    Text Solution

    |

  17. Find the intercepts of the plane 2x-3y+4z-24=0 on the cooridnate axes.

    Text Solution

    |

  18. Find the distance of the plane x+y+z-sqrt3=0 from the origin.

    Text Solution

    |

  19. Does the line x=y=0 lie in the plane z=0.

    Text Solution

    |

  20. Name the surface represented by the equation 2x-3y=0.

    Text Solution

    |