Question

Assertion (A) : The distance between the points (a,b) and (-a,-b) is {2(a^2 + b^2)}^1/2 Reason (R) : The mid points of two points (a,b) and (-a, -b) is (0,0).

Answer 1

Answer:

We know that, the distance between two points A(x

1

,y

1

) and B(x

2

,y

2

) is given by

(x

2

−x

1

)

2

+(y

2

−y

1

)

2

Here, A(a,b)B(−a,−b)

Applying distance formula, we get:

Distance =

(a+a)

2

+(b+b)

2

⇒

4a

2

+4b

2

⇒2

a

2

+b

2

Hence, the distance the points(a,b) and (−a,−b) is 2

a

2

+b

2