Home
Class 12
MATHS
The two planes ax+by+cz+d=0 and ax+by+cz...

The two planes `ax+by+cz+d=0 and ax+by+cz+d=0` where `d ne d_1`, have

A

one point only in common

B

three points in common

C

infinite points in common

D

no points in common

Text Solution

Verified by Experts

The correct Answer is:
D
Two plane `ax+by+cz+d=0 and ax+by+cz+d_1=0` are parallel to each other.
`:." They have no common point"`.
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    NDA PREVIOUS YEARS|Exercise Example|115 Videos

Similar Questions

Explore conceptually related problems

The two planes ax+by+cz+d=0 and ax+by+cz+d_1=0 where dned_1 have

The equation of the plane through the line of intersection of the planes ax+by+cz+d=0 and a'x+b'y+c'z+d'=0 parallel to the line y=0 and z=0 is

Assertion: The distance between two parallel planes ax+by+cz+d=0 and ax+by+cz+d\'=0 is (|d-d\'|)/sqrt(a^2+b^2+c^2) , Reason: The normal of two parallel planes are perpendicular to each other. (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

> ax + by + cz = Ohere, n1.n2 = 0

Statement-1 The distance between the planes 4x-5y+3z=5 and 4x-5y+3z+2=0 is (3)/(5sqrt(2)) . Statement-2 The distance between ax+by+cz+d_1=0 and ax+by+cz+d_2=0 is |(d_1-d_2)/(sqrt(a^2+b^2+c^2)|.

The equation of the plane which has the property that the point Q(5,4,5) is the reflection of point P(1,2,3) through that plane,is ax+by+cz=d where a,b,c,d in N. Find the least value of (a+b+c+d)

NDA PREVIOUS YEARS-3-D GEOMETRY-MCQ
  1. What is the equation of the plane through z-axis and parallel to the l...

    Text Solution

    |

  2. If the line through the points A (k,1,-1) and B(2k,0,2) is perpendicul...

    Text Solution

    |

  3. The two planes ax+by+cz+d=0 and ax+by+cz+d=0 where d ne d1, have

    Text Solution

    |

  4. What is the distance of the origin from the plane x+6y-3z+7=0?

    Text Solution

    |

  5. The acute angle between the planes 2x-y+z=6 and x+y=2z=3 is

    Text Solution

    |

  6. What is the radius of the sphere x^2+y^2+z^2-x-y-z=0?

    Text Solution

    |

  7. Consider the following relations among the angles alpha,beta and gamma...

    Text Solution

    |

  8. Which one of the following points lies on the plane 2x+3y-6z=21?

    Text Solution

    |

  9. What is the angle between the lines whose direction cosines are propor...

    Text Solution

    |

  10. What is the locus of points of intersection of a sphere and a plane ?

    Text Solution

    |

  11. What is the angle between two planes 2x-y+z=4 and x+y+2z=6?

    Text Solution

    |

  12. What is the equation of the plane passing through point (1,-1,-1) and ...

    Text Solution

    |

  13. The equation to sphere passing throrugh origin and the points (-1,0,0)...

    Text Solution

    |

  14. If a line makes the angles alpha,beta,gamma with the axes, then what i...

    Text Solution

    |

  15. What are the direction ratios of normal to the plane 2x-y+2z+1=0?

    Text Solution

    |

  16. What is the cosines of angle between the planes x+y+z+1=0 and 2x-2y+2z...

    Text Solution

    |

  17. What is the sum of the squares of direction cosines of the line joinin...

    Text Solution

    |

  18. What is the diameter of the sphere x^2+y^2+z^2-4x+6y-8z-7=0

    Text Solution

    |

  19. If the distance between the points (7,1,-3) and (4,5,lambda) is 13 un...

    Text Solution

    |

  20. If O be the origin and OP=r and OP makes an angle theta with the posit...

    Text Solution

    |