Home
Class 12
MATHS
Statement-I P is a point (a, b, c). Let ...

Statement-I P is a point `(a, b, c).` Let A, B, C be the images of P in yz, yx and zx planes respectively, then equation of the plane passing through the points A, B and C is `(x)/(a)+(y)/(b)+(z)/(c)=1`
Statement-II The images of a point P which is equidistant from the points whose position vectors are a and b is `|r-(a+b)/(2)|cdot(a-b)=o`

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 ENGLISH|Exercise ASSIGNMENT SECTION - C|14 Videos

  • THREE DIMENSIONAL GEOMETRY

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

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION - A|90 Videos

  • STRAIGHT LINES

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

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Section - J (Akash Challengers Question)|16 Videos

Similar Questions

Explore conceptually related problems

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

Equation of plane passing through P(a,b,c) and parallel to xy 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

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

The equation of the plane passing through three non - collinear points with positions vectors a,b,c, is

If the point P(x, y) be equidistant from the points A(a+b, a-b) and B(a-b, a+b) then

If the point P(x, y) is equidistant from the points A(a + b, b-a) and B(a-b, a + b). Prove that bx = ay.

If the position vectors of the points A,B and C be a,b and 3a-2b respectively, then prove that the points A,B and C are collinear.

Write the vector equation of the plane passing through the point (a, b,c) and parallel to the plane vecr. (hati + hatj + hatk) = 2.

If a point A(0,\ 2) is equidistant from the points B(3,\ p) and C(p ,\ 5) , then find the value of p .

AAKASH INSTITUTE ENGLISH-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. Statement-I P is a point (a, b, c). Let A, B, C be the images of P in ...

    Text Solution

    |

  4. Find the equation of the plane containing line (x+1)/(-3)=(y-3)/2=(...

    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. The vector equation of the plane through the point (2, 1, -1) and pass...

    Text Solution

    |

  12. Find the vector equation of line passing through the point (1,2,-4)...

    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 a plane cuts t...

    Text Solution

    |

  19. Find the length of the perpendicular from the point (1,2,3) to the ...

    Text Solution

    |

  20. A variable plane which remains at q constant distance 3p from the orig...

    Text Solution

    |