Home
Class 12
MATHS
P is a point (a, b, c). Let A, B, C be i...

`P` is a point `(a, b, c).` Let `A, B, C` be images of Pin `y-z, z-x and x-y` planes respectively, then the equation of the plane `ABC` is

A

`bcx + acy + abz = 3abc`

B

`bcx + acy + abz = 2abc`

C

`bcx + acy + abz = abc`

D

`x/a+y/b+z/c=0`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - C|14 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - D COMPREHENSION I|3 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - A|90 Videos

  • STRAIGHT LINES

    AAKASH INSTITUTE|Exercise SECTION-J (AAKASH CHALLENGERS QUESTIONS)|5 Videos

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Section - J (Akash Challengers Question)|15 Videos

Similar Questions

Explore conceptually related problems

From the point P(a,b,c), let perpendicualars PL and PM be drawn to YOZ and ZOX planes,respectively.Then the equation of the plane OLM is a.(x)/(a)+(y)/(b)+(z)/(c)=0 b.(x)/(a)+(y)/(b)-(z)/(c)=0 c.(x)/(a)-(y)/(b)-(z)/(c)=0 d.(x)/(a)-(y)/(b)+(z)/(c)=0

The plane x/a+y/b+z/c=1 meets the coordinate axes at A,B and C respectively. Find the equation of the sphere OABC.

Find the image of (x,y,z) in XY plane

Let x/a + y/b + z/c = 1 be a plane, then the image of origin with respect to the plane is :

Let P be the image of the point (3, 1, 7) with respect to the plane x-y+z=3 . Then, the equation of the plane passing through P and containing the straight line (x)/(1)=(y)/(2)=(z)/(1) is

If the plane (x)/(a)+(y)/(b)+(z)/(c)=1 meets the axes in A,B,C respectively.Find the equation of a sphere OABC.

AAKASH INSTITUTE-THREE DIMENSIONAL GEOMETRY -ASSIGNMENT SECTION - B
  1. The line vecr=alpha(hati+hatj+hatk)+3hatk and vecr=beta(hati-2hatj+hat...

    Text Solution

    |

  2. If P be the point (2,6, 3) then the equation of the plane through P, a...

    Text Solution

    |

  3. P is a point (a, b, c). Let A, B, C be images of Pin y-z, z-x and x-y ...

    Text Solution

    |

  4. Find ten equation of the plane passing through the point (0,7,-7) and ...

    Text Solution

    |

  5. The equation of the plane which passes through the points (2, 1, -1)...

    Text Solution

    |

  6. Find the image of the point (1,3,4) in the plane 2x-y+z+3=0.

    Text Solution

    |

  7. Length of the perpendicular from origin to the plane passing through...

    Text Solution

    |

  8. If the plane x- 3y +5z= d passes through the point (1, 2, 4), then the...

    Text Solution

    |

  9. The plane x / 2 + y / 3 + z / 4 = 1 cuts the co-ordinate axes in A, B,...

    Text Solution

    |

  10. The position vectors of points A and B are hati - hatj + 3hatk and 3h...

    Text Solution

    |

  11. Find the vector equation to the plane through the point (2,1,-1) pass...

    Text Solution

    |

  12. बिंदु (1,2,-4) से जाने वाली और दोनों रेखाओ (x-8)/(3)=(y+19)/(-16)...

    Text Solution

    |

  13. The line x + 2y - z - 3 = 0 = x + 3y - 2 - 4 is parallel to

    Text Solution

    |

  14. The shortest distance between the lines 2x + y + z - 1 = 0 = 3x + y + ...

    Text Solution

    |

  15. The lines x + y + z - 3 = 0 = 2x - y + 5z - 6 and x - y - z + 1 = 0 = ...

    Text Solution

    |

  16. The line vecr= veca + lambda vecb will not meet the plane vecr cdot ...

    Text Solution

    |

  17. The plane vecr cdot vecn = q will contain the line vecr = veca + lambd...

    Text Solution

    |

  18. Two system of rectangular axes have the same origin. If the plane cu...

    Text Solution

    |

  19. Perpendicular distance of the point (1, 2, 3) from the line (x-6)/3=(...

    Text Solution

    |

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

    Text Solution

    |