A) 28
B) 15
C) 18
D) 10
Correct Answer: C
Solution :
[c] Let the equation of the line L be \[y-2=m(x-8),m<0\] Coordinates of P and Q are \[P\left( 8-\frac{2}{m},0 \right)\] and \[Q(0,2-8m).\] So, \[OP+OQ=8-\frac{2}{m}+2-8m\] \[=10+\frac{2}{-m}+8(-m)\] \[\ge 10+2\sqrt{\frac{2}{-m}\times 8(-m)}\ge 18\] absolute min. value of \[OP+OQ=18.\]You need to login to perform this action.
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