What is the shortest distance between the line given by -2x + 3y + 4 = 0 and the point (5,6)?

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Mr. Dubey

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📊 Design and Analysis of Algorithms

Q. What is the shortest distance between the line given by -2x + 3y + 4 = 0 and the point (5,6)?

(A) 4.5 units
(B) 5.4 units
(C) 4.3 units
(D) 3.3 units

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✅ Correct Answer: (D) 3.3 units

Explanation: the shortest distance between a line and a point is given by the formula (ax1+by1+c)/(√a2+b2). using this formula we get the answer 3.3 units.

Explanation by: Mr. Dubey

the shortest distance between a line and a point is given by the formula (ax1+by1+c)/(√a2+b2). using this formula we get the answer 3.3 units.

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