Home
Class 12
MATHS
If O is the origin, OP = 3, with directi...

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

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 ENGLISH|Exercise Section I - Solved Mcqs|16 Videos

  • TANGENTS AND NORMALS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|25 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

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

O is the origin and P is point at a distance of 3 units from origin. If direction ratios of OP are lt 1,-2,-2 gt , then the coordinates of P are

O is origin and P is a point at a distance of 7 units from origin if the direction ratios of OP are lt 3 ,-2, 6 gt , then the coordinates of P are (i) (3,-2,6) (ii) (21,-14,42) (iii) (3/7,-2/7,6/7) (iv) none of these

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 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.

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

If the origin is shifted (1, 2, -3) without changing the directions of the axis, then find the new coordinates of the point (0, 4, 5) with respect to new frame.

The foot of the perpendicular drawn from the origin to a plane is (1,2,-3)dot 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 O Pdot

The origin O,B (-6,9) and C (12, -3) are vertices of triangle OBC, Point P divides OB in the ratio 1 : 2 and point Q divides OC in the ratio 1 : 2 Find the co-ordinates of points P and Q. Also show that PQ = (1)/(3) BC.

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 ENGLISH-THREE DIMENSIONAL COORDINATE SYSTEM -Exercise
  1. If the x-coordinate of a point P on the join of Q(2,2,1)a n dR(5,1,-...

    Text Solution

    |

  2. The distance of the point P(a,b,c) from the x-axis is

    Text Solution

    |

  3. Ratio in which the xy-plane divides the join of (1, 2, 3) and (4, 2...

    Text Solution

    |

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

    Text Solution

    |

  5. A (3,2,0) , B (5,3,2)C (-9,6,-3) are three points forming a triangle. ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. A vector vec O P is inclined to O X at 45^0 and O Y at 60^0 . Find th...

    Text Solution

    |

  10. vector is equal inclined with the coordinate axes. If the tip ofvecr ...

    Text Solution

    |

  11. If vecr is a vector of magnitude 21 and has direction ratios 2, -3 an...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. The projections of a line segment on the coordinate axes are 12,4,3 re...

    Text Solution

    |

  15. If P(x,y,z) is a point on the line segment joining Q(2,2,4) and R(3,5,...

    Text Solution

    |

  16. If O is the origin, OP = 3, with direction ratios -1, 2 and -2, then f...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. A line makes angles angle, beta, gamma and delta with the diagonals of...

    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

    |