A straight line L with negative slope passes through the point(8,2) and cuts the positive coordinate axes at pointsmP and Q. As L varies, minimum value of OP +OQ is(O=origin)

a)10 b)18 c)16 d)12

Dear Student,

Write a general equation of line passing through (8,2) and having solve “-m”. Find the x and y intercepts from there. Then add this two intercepts and you will a quadratic equation in m. Then you can easily find its minimum value.

Thanks.