Question

Find the distance between the following pairs of points (1) (2, 3) and (4,1) () (-5,7) and (-1,3) (ii) (-2, -3) and (3, 2) (iv) (a, b) and (-a, -b)​

Answer 1

Step-by-step explanation:

1) √{(4-2)^2+(1-3)^2} unit

=√{2^2+(-2)^2} unit

=√(4+4) unit

=√8unit

=2√2unit

ii) √{(-1+5)^2+(3-7)^2} unit

=√{4^2+(-4)^2} unit

=√{16+16) unit

=√32 unit

=4√2unit

iii) √{(3+2)^2+(2+3)^2 unit

=√(5^2+5^2) unit

=√25+25 unit

=√50 unit

=5√2 unit

iv) √{(-a-a)^2+(-b-b)^2}unit

=√(-2a)^2+(-2b)^2} unit

=√(4a^2+4b^2) unit

=√4(a^2+b^2) unit

=2√(a^2+b^2)unit