The family of lines is given as a(3x+4y+6)+b(x+y+2)=0.The line of the family situated at the greatest distance from the point P(2,3) has the equation____
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1 Answers
62the family passes through
(-2,0)
so the maximum of the minimum distance of the line from (2,3) is 5 units!
Now that will be when the family is perpendicular to this on!
that will be when the slope of the line is perpendicular to the slope of the line joining (-2,0) to (2,3)
which is 3/4
the slope of its perpendicular will be -4/3
Now find that eqution fo thei sfamily where slope is -4/3 :)
