Question

Fill in the blank:
The distance between the points ( a,b) and (-a,-b) is_______

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

$\huge{\boxed{\rm{\red{2√(a²+b²) units}}}}$

Step-by-step explanation:

Gven:-

the points ( a,b) and (-a,-b)

To find:-

The distance between the points ( a,b) and (-a,-b).

Using formula:-

(x1,y1) and (x2,y2) are the points then the distance between them is √{(x2-x1)²+(y2-y1)²}

Solution:-

Given points are (x1,y1)=(a,b)=>x1=a,y1=b

(x2,y2)=(-a,-b)=>x2=-a,y1=-b

The distance=√{(-a-a)²+(-b-b)²}

=>√{(-2a)²+(-2b)²}

=>√{4a²+4b²}

=>√4(a²+b²)

=>2√(a²+b² ) units

Answer:-

The distance between the given points is 2√(a²+b²) units