Home
Class 12
MATHS
Let (p, q, r) be a point on the plane 2x...

Let `(p, q, r)` be a point on the plane `2x+2y+z=6`, then the least value of `p^2+q^2+r^2` is equal ot

A

`4`

B

`5`

C

`6`

D

`8`

Text Solution

Verified by Experts

The correct Answer is:
(a)
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|28 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|14 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise For Session 4|7 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

If p, q, r are the roots of the equation x^3 -3x^2 + 3x = 0 , then the value of |[qr-p^2, r^2 , q^2],[r^2,pr-q^2,p^2],[q^2,p^2,pq-r^2]|=

Let f(x)=x^(2)+2px+2q^(2) and g(x)=-x^(2)-2px+p^(2) (where q ne0 ). If x in R and the minimum value of f(x) is equal to the maximum value of g(x) , then the value of (p^(2))/(q^(2)) is equal to

Find the image of the point (p, q, r) with respect to the plane 2x+ y + z = 6. Hence find the image of the line (x-1)/2=(y-2)/1=(z-3)/4 with respect to the plane.

If p = 4, q= 3 and r = -2 find the value of p^(2)+q^(2)-r^(2)

ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Option Correct Type Questions)
  1. Show that x(1) hati+y(1) hatj+ z1hatk, x2hati+y2hatj+z2hatk and x3hati...

    Text Solution

    |

  2. The position vectors of points of intersection of three planes rcdotn1...

    Text Solution

    |

  3. A pentagon is formed by cutting a triangular corner from a rectangular...

    Text Solution

    |

  4. In a dimensional coodinate a system P, Q and R are image of a point A(...

    Text Solution

    |

  5. A plane 2x+3y+5z=1 has a point P which is at minimum distance from lin...

    Text Solution

    |

  6. The locus of point which moves in such a way that its distance from th...

    Text Solution

    |

  7. A cube C={(x, y, z)|o le x, y, zle1} is cut by a sharp knife along the...

    Text Solution

    |

  8. A ray of light is sent through the point P(1, 2, 3,) and is reflected ...

    Text Solution

    |

  9. A plane cutting the axes in P, Q, R passes through (alpha-beta, beta-g...

    Text Solution

    |

  10. The shortest distance between any two opposite edges of the tetrahedro...

    Text Solution

    |

  11. The angle between the pair of planes represented by equation 2x^2-2y^2...

    Text Solution

    |

  12. Let (p, q, r) be a point on the plane 2x+2y+z=6, then the least value ...

    Text Solution

    |

  13. The fout lines drawing from the vertices of any tetrahedron to the cen...

    Text Solution

    |

  14. The shorteast distance from (1, 1, 1) to the line of intersection of t...

    Text Solution

    |

  15. The shortest distance between the two lines L1:x=k1, y=k2 and L2: x=k3...

    Text Solution

    |

  16. A=[{:(l(1),m(1),n(1)),(l(2),m(2),n(2)),(l(3),m(3),n(3)):}] and B=[{:(p...

    Text Solution

    |

  17. If ABCD is a tetrahedron such that each triangleABC, triangleABD and t...

    Text Solution

    |

  18. In a regular tetrahedron, if the distance between the mid points of op...

    Text Solution

    |

  19. A variable plane makes intercepts on X, Y and Z-axes and it makes a t...

    Text Solution

    |

  20. If P, Q, R, S are four coplanar points on the sides AB, BC, CD, DA of ...

    Text Solution

    |