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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.

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.


 


 

Grade:12th Pass

1 Answers

Prajwal kr
49 Points
9 years ago

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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