Question

Find distance between points P (a+b, a-b) and Q (a+b,-a-b) ​

Answer 1

Given :

• Two points :- P(a+b, a-b) and Q (a+b,-a-b)

To find :

Distance between the given two points

Formula used :

To find distance between two points :- (k,h) and (m,n) , we use distance formula. Given as :-

$\sqrt{ {(m - k)}^{2} + {(n - h)}^{2} }$

Solution :

It is given that two points are :- P(a+b, a-b) and Q (a+b,-a-b) . To find distance between them we will use distance formula :-

$\sqrt{ {(m - k)}^{2} + {(n - h)}^{2} }$

Therefore , distance between P and Q :-

$\sqrt{ {(a + b - a - b)}^{2} + {( - a - b - a + b)}^{2} }$

$\sqrt{ {(0)}^{2} + {( - 2a)}^{2} }$

$\sqrt{ 4 {a}^{2} }$

$2a$

Answer :

Distance between the given two points = 2a units

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Know more :

Distance Formula is a useful for finding out the distance between two given points.

It is derived from the Pythagorean theorem :-

• a²+b²=c² where c = hypotenuse and a,b are other two sides.

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