Home
Class 14
MATHS
If a line OP of length r (where, O is th...

If a line OP of length r (where, O is the origin) makes an angle `alpha` with X-axis and lies in the XZ-plane , then what are the coordinates of P?

A

`(rcosalpha,0,rsinalpha)`

B

`(0,0,rsinalpha)`

C

`(rcosalpha,0,0)`

D

`(0,0,rcosalpha)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • 3-D GEOMETRY

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS|108 Videos
  • APPLICATION OF DERIVATIVES

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS |85 Videos

Similar Questions

Explore conceptually related problems

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.

If a line OP through the origin O makes angles alpha,45^(@)and60^(@) with x, y and z axis respectively then the direction cosines of OP are.

A straight line makes an angle of 135^(@) with the X-axis and cuts Y-axis at a distance -5 from the origin. The equation of the line is

There is one short electric dipole placed on a plane. A straight line is drawn on this plane passing through the centre of electric dipole making an angle theta with the axis of dipole. A point P is selected on this line at a distance ten times the length of electric dipole from centre of electric dipole. Electric field intensity at the point P makes an angle alpha with the axis of electric dipole . What will be the magnitude of (tan theta)/(tan alpha) ?

A line lies in XZ-plane and makes an angle 60^(@) with Z-axis, find its inclination with X-axis.

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.

A square lies above the X - axis and has one vertex at the origin . The side passing through the origin makes an angle alpha(o lt alpha lt pi//4) with the positive direction of the X - axis . Prove that the equation of its diagonals are , y (cos alpha - sin alpha ) = x (sin alpha + cos alpha ) , and y(sin alpha + cos alpha ) + x ( cos alpha - sin alpha ) = a where , is the length of each side of the square

Consider the point P as the origin and time OP as the x-axis in the situation shown in the figure. Which of the following represents the coordinates of the image of the point object O. (Take OP = 20 cm )

If alpha,beta,gamma be the angles which a line makes with the coordinates axes, then

PUNEET DOGRA-3-D GEOMETRY-PREV YEAR QUESTIONS
  1. What is the equation to the plane through (1,2,3) parallel to 3x+4y-5z...

    Text Solution

    |

  2. What is the distance of the point (1,2,0) from YZ plane is

    Text Solution

    |

  3. If a line OP of length r (where, O is the origin) makes an angle alpha...

    Text Solution

    |

  4. If the distance between the points (7,1,-3) and (4,5,lambda) is 13 uni...

    Text Solution

    |

  5. What is the angle between the lines (x-2)/1=(y+1)/(-2)=(z+2)/1 and (x-...

    Text Solution

    |

  6. What are the direction cosenes of a line which is equally inclined to ...

    Text Solution

    |

  7. What are the direction ratios of normal to the plane 2x-y+2z+1=0?

    Text Solution

    |

  8. What is the cosine of angle between the planes x+y+z+1=0 and 2x-2y+2z+...

    Text Solution

    |

  9. What is the diameter of the sphere x^2+y^2+z^2-4x+6y-8z-7=0?

    Text Solution

    |

  10. What is the sum of the squares of direction cosines of the line joinin...

    Text Solution

    |

  11. If a line makes the angle alpha,beta,gamma with the axes, then what is...

    Text Solution

    |

  12. What is the locus of points of intersection of a sphere and a plane?

    Text Solution

    |

  13. What is the angle between the planes 2x-y+z=6 and x+y+2z=3 ?

    Text Solution

    |

  14. What is the equation of the plane passing through the point (1,-1,-1) ...

    Text Solution

    |

  15. The equations to sphere passing through origin and the points (-1,0,0)...

    Text Solution

    |

  16. What is the angle between the lines whose direction cosines are propor...

    Text Solution

    |

  17. What is the radius of the sphere x^2+y^2+z^2-x-z=0?

    Text Solution

    |

  18. Consider the following relations among angles alpha,beta and gamma mad...

    Text Solution

    |

  19. What is the acute angle between the planes x+y+2z=3 and -2x+y-z=11?

    Text Solution

    |

  20. Which of the following point lie on the plane 2x+3y-6z=21?

    Text Solution

    |