1.

The distance between the points (5, 7) and (8, -5) is ________(a) √153(b) √154(c) √13(d) √53This question was posed to me in class test.Question is taken from Geometry topic in portion Coordinate Geometry of Mathematics – Class 10

Answer»

The correct answer is (a) √153

The EXPLANATION: Using distance formula,

Distance between (5, 7) and (8, -5) = \( \sqrt {(x_2-x_1)^2 + (y_2-y_1)^2} \)

= \( \sqrt {(8-5)^2 + (-5-7)^2}\)

= \( \sqrt {(3)^2 + (-12)^2} \)

= \( \sqrt {9 + 144}\)

= √153



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