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Find the value of k for which angle subtended by a line joining the points P(-1,2) and Q(1,4) at the point R(k,0) is maximum.
Slope of line PR= -2/(k+1)
Slope of line QR= 4/1-k
Angle between them must be min.
tanα = (m1 - m2)/1+m1m2
=(2k +6)/ k2 + 7
Differentiating, and putting ==0, we get k=1,7
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