1.

If 0 lt alpha lt pi/2 is a fixed andgle .If P=(cos theta sin theta) and Q ={cos (alpha- theta),sin (alpha - theta) then Q is obtained from P by

Answer»

<P>coleckwise rotaion around ORIGIN through an angle `alpha`
anti -clockwise rotation around origin through an angle `alpha`
reflection in the line through
reflection in the line trough originwith slope tan `alpha/2`

Solution :In the ARGAND plane P is represented by `E^(i0)` and Q is represented by `e^i(alpha - theta)`
Now rotation about a line with angle `alpha` is given by `e^(theta) rarr e^(alpha- theta)`.ThereforeQ is obtained fromP by reflection in the line MAKING an anlgle `alpha //2`


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