Home
Class 12
MATHS
If O be the origin and OP=r and OP makes...

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.

A

`(r cos alpha, 0,r sin alpha)`

B

`(0,0,r sin alpha)`

C

`(0,0,r cos alpha)`

D

`(r cos alpha,0,0)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 2( SINGLE CORRECT ANSWER TYPE QUESTIONS))|30 Videos
  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (NUMERICAL ANSWER TYPE QUESTIONS)|23 Videos
  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (CONCEPT-BASED (SINGLE CORRECT ANSWER TYPE QUESTIONS))|15 Videos
  • STATISTICS

    MCGROW HILL PUBLICATION|Exercise QUESTION FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|13 Videos
  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos

Similar Questions

Explore conceptually related problems

IF O be the origin and OP makes angles 45^0 and 60^0 with the positive directionof x and y-axes respectively and OP=12 units find the coordinates of P.

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.

The length of the focal chord which makes an angle theta with the positive direction of x -axis is 4a cos ec^(2)theta

Let P M be the perpendicular from the point P(1,2,3) to the x-y plane. If vec O P makes an angle theta with the positive direction of the z- axis and vec O M makes an angle phi with the positive direction of x- axis, w h e r eO is the origin and thetaa n dphi are acute angels, then a. costhetacosphi=1//sqrt(14) b. sinthetasinphi=2//sqrt(14) c. ""tanphi=2 d. tantheta=sqrt(5)//3

Let PM be the perpendicular from the point P(1, 2, 3) to XY-plane. If OP makes an angle theta with the positive direction of the Z-axies and OM makes an angle Phi with the positive direction of X-axis, where O is the origin, then find theta and Phi .

Let PM be the perpendicular from the point P(1, 2, 3) to XY-plane. If OP makes an angle theta with the positive direction of the Z-axies and OM makes an angle Phi with the positive direction of X-axis, where O is the origin, theta and Phi are acute angles, then

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

A square of each side 2, lies above the x-axis and has one vertex at the origin. If one of the sides passing through the origin makes an angle 30^(@) with the positive direction of the x-axis, then the sum of the x-coordinates of the vertices of the square is:

Let PQ be the perpendicular form P(1,2,3) to xy-plane. If OP makes an angle theta with the positive direction of z-axis and OQ makes an angle phi with the positive direction of x-axis where O is the origin show that tantheta=sqrt(5)/3 and tanphi=2 .

MCGROW HILL PUBLICATION-THE DIMENSIONAL GEOMETRY -SOLVED EXAMPLES (LEVEL 1( SINGLE CORRECT ANSWER TYPE QUESTIONS))
  1. Find the ratio in which the y-z plane divides the join of the po...

    Text Solution

    |

  2. What are corrdinates of the point equidistant from the points (a,0,0),...

    Text Solution

    |

  3. If O be the origin and OP=r and OP makes an angle theta with the posit...

    Text Solution

    |

  4. If a straight line in space is equally inclined to the co-rodinate axe...

    Text Solution

    |

  5. A line makes an angle of 60^(@) with each of x and y axis, the angle w...

    Text Solution

    |

  6. The projections of a line segment on x, y and z axes are respectively ...

    Text Solution

    |

  7. If P(x,y,z) is a point in space at a distance r from the origin O, the...

    Text Solution

    |

  8. Let N be the foot of the perpendicular of length p from the origin to ...

    Text Solution

    |

  9. The equation of plane passing throught the point (1 ,2 ,3) and the di...

    Text Solution

    |

  10. If a plane meets the co-ordinate axes in A, B, C such that the centroi...

    Text Solution

    |

  11. Algebraic sum of the intercepts made by the plane x+3y-4z+6=0 on the a...

    Text Solution

    |

  12. An equation of the plane passing through the origin and containing the...

    Text Solution

    |

  13. An equation of the plane passing through the point (1,-1,2) and parall...

    Text Solution

    |

  14. The vector form of the equation of the line 6x - 2 = 3y + 1 = 2z - 2 ...

    Text Solution

    |

  15. Find the vector of a line passing through (2,-1,1) and parallel to the...

    Text Solution

    |

  16. If M denotes the md point of the line segment joining A(4hati+6hatj-10...

    Text Solution

    |

  17. Find the equation of the plane through (3,4,-1) which is parallel to t...

    Text Solution

    |

  18. The ratio in which the plane 2x-1=0 divides the line joining (-2,4,7) ...

    Text Solution

    |

  19. A line passes through the point (6, -7, -1) and (2, -3, 1). The direct...

    Text Solution

    |

  20. The dr. of normal to the plane through (1,0,0), (0,1,0) which makes an...

    Text Solution

    |