Find the value of k for which angle subtended a line segment joining the points P(-1,2) and Q(1,4)at the point R(k,0)is maximum?

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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