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The shortest distance from the point (-4, 3) to the circle $$x^{2} + y^{2} = 1$$ is
Correct Answer: 4
The shortest distance would be the, distance between the given point P(-4,3) and the point of intersection of circle and line joining centre of circle and P(-4,3).
The effective shortest distance = Distance between {Centre, P} - Radius of circle .
As the given circle is having centre at origin (0,0) and given point P(-4,3) :
Distance b/w Centre and $$P=\sqrt{\ \left(0+4\right)^2+\left(0+3\right)^2}$$ = 5
Given radius of circle = 1.
Therefore, shortest distance is 5-1 = 4.
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