Question

EXERCIS 1. Find the distance between the following pairs of points : (-a, -b) and (a, b) ​

Answer 1

Answer:

Let A(a,b)≡(x

1

,y

1

) and B(−a,−b)≡(x

2

,y

2

) be the points of a straight line.

AB=

(x

2

−x

1

)

2

+(y

2

−y

1

)

2

AB=

(−a−a)

2

+(−b−b)

2

=

(−2a)

2

+(−2b)

2

=

4a

2

+4b

2

=2

a

2

+b

2

units.

Answer 2

Answer:

Correct option is B)

Let A (a, b) = (x₁, y₁) and B (-a, -b) = (x2, y2) be

the points of a straight line.

AB=√(x₂-x₁)² + (y2 − 1)²

AB=√(-a-a)² + (−b - b)²

Feedback

= √√(-2a)² + (-2b)²

=

4a² + 4b² = 2√a² + b²units.

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