rishabhmishra wrote:
What is the smallest possible distance between origin and any point on the line \(y=\frac{1}{2}x+50\)?
A. 25
B. \(20\sqrt{5}\)
C. 50
D. \(50\sqrt{2}\)
E. 100
Answer is B
The Smallest distance between the origin and any point on the line\(y=\frac{1}{2}x+50\) would be distance
of length of perpendicular drawn from origin to line\(y=\frac{1}{2}x+50\) .
assume the equation of line passing through origin and perpendicular to line\(y=\frac{1}{2}x+50\) be y= mx +c.
as two line are perpendicular and non vertical, product of their slope would be -1.
so m = -2.
as
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