Question

If the distance between the points A(1,1) and B (x,1) is 5 units, then values of x are

Answer 1

I have given the answer in the attachment . thankyou

Answer 2

Concept

The Euclidean distance formula is used to find the distance between any two points in a two-dimensional plane. The distance between two points P with coordinates (x, y) and Q with coordinates (z, w) is given by-

$PQ = \sqrt{(z-x)^{2} + (w-y)^{2} }$

Given

distance between 2 points A(1,1) and B (x,1) is 5 units

Find

we are asked to find the value(s) of x

Solution

we are given that AB = 5 units

we can find the length of AB using the distance formula as follows,

$AB = \sqrt{(x-1)^{2} + (1-1)^{2} }$

⇒ $AB = \sqrt{(x-1)^{2} }$

⇒ AB = (x-1)

therefore,

(x-1) = 5

x = 6

Thus, the coordinates of B are (6, 1)

And, the value x is 6

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