Home
Class 12
MATHS
Show that each of the following pairs of...

Show that each of the following pairs of planes are at right angles:
i) `3x+4y-5z=7` and `2x+6y+6z+7=0`
ii) `x-2y+4z=10` and `18x+17y+4z=49`

Promotional Banner

Topper's Solved these Questions

  • THE PLANE

    RS AGGARWAL|Exercise Exercise 28G|20 Videos
  • THE PLANE

    RS AGGARWAL|Exercise Exercise 28I|9 Videos
  • THE PLANE

    RS AGGARWAL|Exercise Exercise 28C|34 Videos
  • SYSTEM OF LINEAR EQUATIONS

    RS AGGARWAL|Exercise Objective Questions|53 Videos
  • VECTOR AND THEIR PROPERTIES

    RS AGGARWAL|Exercise Exercise 22|24 Videos

Similar Questions

Explore conceptually related problems

Show that the following planes are at right angle: x-2y+4z=10\ a n d\ 18 x+17 y+4z=49.

Show that the planes 2x+6y-6z=7\ a n d\ 3x+4y+5z=8 are at right angles.

Solve the following system matrix method: x-3y-8z=-10 and 3x+y-4z=0 and 2x+5y-6z=13

solve the following system of equations by matrix method: x-3y-8z=-10 and 3x+y-4z=0 and 2x+5y-6z=13

Show that the following system of equation is consistent.2x-y+3z=5,3x+2y-z=7,4x+5y-5z=0

Show that each of the following systems of linear equations is consistent and also find their solutions: 6x+4y=2 9x+6y=3 2x+3y=5 6x+9y=15 5x+3y+7z=4 3x+26 y+2z=9 7x+2y+10 z=5 x-y+z=3 2x+y-z=2 -x-2y+2z=1 x+y+z=6 x+2y+3z=14 x+4y+7z=30 2x+2y-2z=1 4x+4y-z=2 6x+6y+2z=3

Measure of angle between the planes 5x-2y + 3z-7=0 and 15x - 6y+9z+5=0 is

Find the angle between the plane: 2x+y-2z=5 and 3x-6y-2z=7

Find the angle between the plane: 3x-6y+2z=7 and 2x+2y-2z=5

Find the angle between the two planes 3x-6y+2z=7 and 2x+2y-2z=5

RS AGGARWAL-THE PLANE-Exercise 28F
  1. Find the acute angle between the following planes: i) vecr.(hati+hatj...

    Text Solution

    |

  2. Show that the following planes are right angles: i) vecr.(4hati-7hat...

    Text Solution

    |

  3. Find the value of lambda for which the given planes are perpendicular ...

    Text Solution

    |

  4. Find the acute angle between the following planes: 2x-y+z=5 and x+y+2...

    Text Solution

    |

  5. Show that each of the following pairs of planes are at right angles: ...

    Text Solution

    |

  6. Prove that the plane 2x+3y-4z=9 is perpendicular to each of the planes...

    Text Solution

    |

  7. Show that the planes 2x-2y+4z+5=0 and 3x-3y+6z-1=0 are parallel.

    Text Solution

    |

  8. Find the value of lambda for which the planes x-4y+lambdaz+3=0 and 2x+...

    Text Solution

    |

  9. Write the equation of the plane passing through the origin and paralle...

    Text Solution

    |

  10. Find the equation of the plane passing through (a,b,c) and paralle tot...

    Text Solution

    |

  11. Find the equation of the plane passing through the point (1,-2,7) and ...

    Text Solution

    |

  12. Find the equation of the plane passing through the point (-1,-1,2)a n ...

    Text Solution

    |

  13. Find the equation of a plane passes through the point (0 ,0,0) and per...

    Text Solution

    |

  14. Find the equation of the plane that contains the point A(1,-1,2) and ...

    Text Solution

    |

  15. Find the equation of the plane passing through the points A(1,-1,2) an...

    Text Solution

    |

  16. Find the equation of the plane passing through the points (-1,1,1) ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |