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IF YOU WANT MAXIMUM ANGLE TO BE SUBTENDED THEN THE POINT R(k,0) HAS TO LIE ON LINE PQ SO THAT MAXIMUM ANGLE SUBTENDED IS 180 DEGREE THEREFORE EQUATION OF LINE PQ : Y-2=[(2-4)/(-1-1)]{X-(-1)}
Y-2=X+1 ....................... R POINT SHOULD SATISFY R(k,0)
0-2=K+1.......... THEREFORE K=-3..................ANSWER
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