Question

find the distabce between(a,b)and (-a,-b)

Answer 1

distance between two points = sqrt((x1 - x2)2 + (y1 - y2)2)

distance between (a, b) and (-a, -b)

= sqrt((a -- a)2 + (b -- b)2)

= sqrt((2a)2 + (2b)2)

= sqrt(4a2 + 4b2)

= sqrt(4(a2 + b2))

= 2sqrt(a2 + b2)

               

Answer 2

the distance between the two points is given by

√(x2 - x1)^2 + ( y2 - y1 )^2

therefore the distance between (a,b) and (-a,-b) is given by

l = √(a- (-a))^2 +( y -(-y))^2

= √(2a )^2 + (2y)^2

= √4a^2 + 4y^2

= 2 √a^2 + b^2

hope this helps you ☺️