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  • What is the least possible distance between a point on the circle x^2 + y^2 = 1 and a point on the line y = 3/4*x - 3?A) 1.4B) sqrt (2)C) 1.7D) sqrt (3)E) 2.0

What is the least possible distance between a point on the circle x^2 + y^2 = 1 and a point on the line y = 3/4*x - 3?A) 1.4B) sqrt (2)C) 1.7D) sqrt (3)E) 2.0

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In;order;to;find;minimum;distance;between;a;point;on;the;given\* circle;and;a;point;on;the;given;line;we;need;to;find;height;of; riangle OAB\* Rightarrow AB^2=OB^2+OA^2=16+9=25\*Rightarrow AB=5\* area;of; riangle OAB=frac12 imes 3 imes 4=6;sq.;units\* now,;we;know;base;and;area;of;triangle;we;have;to;find;height\* Rightarrow 6 = frac12 imes 5;times height\*Rightarrow height=frac125=2.4;units\* Now,;least;distance=height-radius=2.4-1=1.4;units\* So,;minimum;distance;between;a;point;on;the;circle;x^2+y^2=1\* and; a;point;on;the;line;y=frac34x-3;is;1.4;units

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Deependra Verma

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