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 a line makes angle 90o , 60o and 30o with the positive direction of x, y and z-axis respectively, find its direction cosines.

If a line makes angle 90o , 60o and 30o with the positive direction of x, y and z-axis respectively, find its direction cosines.

If a line makes angle 90^o , 60^o and 30^o with the positive direction of x, y and z-axis respectively, find its direction cosines.

If a line makes angle 90^@ , 60^@ and 30^@ with the positive direction of x, y and z-axis respectively, find its direction cosines.

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 equation of a line through the origin which makes an angle of 45^0 with the positive direction of x-axis.

A line making angles 45^0 and 60^0 with the positive directions of the x and y axes respectively , makes with the positive direction of z-axis an angle of (A) 60^0 (B) 120^0 (C) 60^0 or 120^0 (D) none of these

The length of perpendicular from the origin to a line is 9 and the line makes an angle of 120^(@) witth the positive direction of Y - axes . Find the equation of the line .

A line through the point P (1, 2) makes an angle of 60^0 with the positive direction of x-axis and is rotated about P in the clockwise direction through an angle 15^0 . Find the equation of the straight line in the new position.

If OP=8 and OP makes angles 45^(@) and 60^(@) with OX-axis and OY-axis respectively, then OP is equal to