# Which of the following is the correct formula for finding distance (d) between two points (x1, y1) and (x2, y2)?

Category: QuestionsWhich of the following is the correct formula for finding distance (d) between two points (x1, y1) and (x2, y2)?
Editor"> Editor Staff asked 1 year ago

Which of the following is the correct formula for finding distance (d) between two points (x1, y1) and (x2, y2)?

(a) d^2 = (x2-x1)^2 + (y2-y1)^2

(b) d^4 = (x2-x1)^2 + (y2-y1)^2

(c) d^3 = (x2-x1)^2 + (y2-y1)^2

(d) d = (x2-x1)^2 + (y2-y1) ^2

This interesting question is from Straight Line Motion in section Motion in a Straight Line of Physics – Class 11
Select the correct answer from above options
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Editor"> Editor Staff answered 1 year ago

Right option is (c) d^3 = (x2-x1)^2 + (y2-y1)^2

The explanation: The correct answer is d^2 = (x2-x1)^2 + (y2-y1)^2. This expression can be found out using Pythagoras theorem in Cartesian coordinate system. Build a right-angle triangle with sides parallel to the axes and the hypotenuse joining the two points to construct the right-angle triangle.

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