Home
Class 12
MATHS
If O is the origin, O P=3 with direction...

If `O` is the origin, `O P=3` with direction ratios `-1,2,a n d-2,` then find the coordinates of `Pdot`

A

`(-1,2,-2)`

B

`(1,2,2)`

C

`(-19,2//9,-2//9)`

D

`(3,5,-9)`

Text Solution

Verified by Experts

The correct Answer is:
A
NA
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    OBJECTIVE RD SHARMA|Exercise Section I - Solved Mcqs|16 Videos

  • TANGENTS AND NORMALS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|25 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

If O is the origin,OP=3 with direction ratios -1,2, and -2, then find the coordinates of P.

Find the vector equation of a plane which is at a distance of 6 units from the origin and has 2, -1, 2 as the direction ratios of a normal to it. Also, find the coordinates of the foot of the normal drawn from the origin.

If the distance between the origin O and point P is 5 units and the direction ratios of line segment are (1,-2,3) then the coordinates of P are

If O be the origin and OP=r and OP makes an angle theta with the positive direction of x-axis and lies in the XY plane find the coordinates of P.

Find the angles at which a line with direction ratios 2,-1,2 is inclined to each of the coordinate axes.

Let O be the origin and P be the point at a distance 3 units from origin. If direction ratios of OP are (1,-2,-2), then coordinates of P is given by

The foot of the perpendicular drawn from the origin to a plane is (1,2,-3). Find the equation of the plane.or If O is the origin and the coordinates of P is (1,2,-3), then find the equation of the plane passing through P and perpendicular to OP.

If O be the origin and OP makes an angle of 45^0 and 60^0 with the positive direction of x and y axes respectively and OP=12 units, find the coordinates of P.

If O be the origin and the coordinates of P be(1," "2," "" "-3) , then find the equation of the plane passing through P and perpendicular to OP.

OBJECTIVE RD SHARMA-THREE DIMENSIONAL COORDINATE SYSTEM -Exercise
  1. Ratio in which the xy-plane divides the joint of (1,2,3) and (4,2,1), ...

    Text Solution

    |

  2. If P(3,2,-4),Q(5,4,-6) and R(9,8,-10) are collinear, then R divides PQ...

    Text Solution

    |

  3. A(3,2,0),B(5,3,2),(-9,6,-3) are the vertices of /\ ABC and AD is the b...

    Text Solution

    |

  4. A line passes through the points (6,-7,-1)a n d(2,-3,1)dot Find te ...

    Text Solution

    |

  5. If a line makes angles alpha,beta,gamma with the positive direction of...

    Text Solution

    |

  6. If P is a point in space such that OP=12 and vec(OP) is inclied at ang...

    Text Solution

    |

  7. A vector vec O P is inclined to O Xa t45^0a n dO Ya t60^0 . Find the ...

    Text Solution

    |

  8. A vector vecr is equally inclined with the coordinates axes. If the ti...

    Text Solution

    |

  9. If vecr is a vector of magnitude 21 and has direction ratios proporti...

    Text Solution

    |

  10. The direction cosines of the lines bisecting the angle between the lin...

    Text Solution

    |

  11. Find the coordinates of the foot of the perpendicular drawn from po...

    Text Solution

    |

  12. The foot of the perpendicular drawn from a point with position vector ...

    Text Solution

    |

  13. The projections of a directed line segment on the coordinate axes are ...

    Text Solution

    |

  14. Let l1,m1,n1; l2,m2,n2 and l3,m3,n3 be the direction cosines of three ...

    Text Solution

    |

  15. If P(x ,y ,z) is a point on the line segment joining Q(2,2,4)a n d ...

    Text Solution

    |

  16. If O is the origin, O P=3 with direction ratios -1,2,a n d-2, then fin...

    Text Solution

    |

  17. A mirror and a source of light are situated at the origin O and at ...

    Text Solution

    |

  18. Find the angel between any two diagonals of a cube.

    Text Solution

    |

  19. A line makes angles alpha,beta,gammaand deltawith the diagonals of a...

    Text Solution

    |

  20. If P(0,1,2),\ Q(4,-2,1)a n d\ O(0,0,0) are three points then P O Q= ...

    Text Solution

    |