question_answer

If \[{{P}_{1}}\,,\] \[{{P}_{2}}\] and \[{{P}_{3}}\]be the perpendiculars from the points \[({{m}^{2}},\,\,2m)\], \[\left( mm',m+m' \right)\] and \[(m{{'}^{2}},2m')\]respectively on the line \[x\cos \alpha +y\sin \alpha \]\[+\frac{{{\sin }^{2}}\alpha }{\cos \alpha }=0,\] then \[{{P}_{1}},\,\,{{P}_{2}}\,\,and\,\,{{P}_{3}}\]P. P, are in

A)  A.P                 

B)  G.P

C)  H.P                 

D)  Both (A) and (B)

E)  None of these