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RRB Technician Grade 1 Model Paper 2

Question : 58 of 100

Marks: +1, -0

The distance between A(5, 8) and B(4, -6)

Solution:

Concept:

The distance between two points is found using the distance formula derived from Pythagoras’ theorem.

Explanation:

Let the given points be

A(5, 8) = (x_1, y_1)

and

B(4, -6) = (x_2, y_2)

Distance formula:

d(A, B) = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Substitute the coordinates:

d = \sqrt{(4 - 5)^2 + (-6 - 8)^2}

d = \sqrt{(-1)^2 + (-14)^2}

d = \sqrt{1 + 196}

d = \sqrt{197}

units

Answer:

The distance is

\sqrt{197}

units, so the correct option is C. √197 unit.

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