Locus of the point P, for which \[\overrightarrow{OP}\] represents a vector with direction cosine \[\cos \,\,\alpha =\frac{1}{2}\] (where O is the origin) is

a ray emanating from the origin and making an angle of \[60{}^\circ \]with the x-axis

a circle parallel to the y-z plane with centre on the x-axis

a cone concentric with the positive x-axis having vertex at the origin and the slant height equal to the magnitude of the vector

a disc parallel to the y-z plane with centre on the x-axis and radius equal to \[\left| \overrightarrow{OP} \right|\] sin 60°

Locus of the point P, for which \[\overrightarrow{OP}\] represents a v

1.	Locus of the point P, for which \[\overrightarrow{OP}\] represents a vector with direction cosine \[\cos \,\,\alpha =\frac{1}{2}\] (where O is the origin) is
A.	a circle parallel to the y-z plane with centre on the x-axis
B.	a cone concentric with the positive x-axis having vertex at the origin and the slant height equal to the magnitude of the vector
C.	a ray emanating from the origin and making an angle of \[60{}^\circ \]with the x-axis
D.	a disc parallel to the y-z plane with centre on the x-axis and radius equal to \[\left\| \overrightarrow{OP} \right\|\] sin 60°
Answer» C. a ray emanating from the origin and making an angle of \[60{}^\circ \]with the x-axis

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Locus of the point P, for which \[\overrightarrow{OP}\] represents a vector with direction cosine \[\cos \,\,\alpha =\frac{1}{2}\] (where O is the origin) is

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