The distance between the points A(0, 6)

Question:

The distance between the points A(0, 6) and 5(0,- 2) is

(a) 6                       

(b) 8                            

(c) 4                          

(d) 2

Solution:

(b) v Distance between the points (x1, y1) and (x2, y2),

$d=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}$

Here, $x_{1}=0, y_{1}=6$ and $x_{2}=0, y_{2}=-2$

$\therefore$ Distance between $A(0,6)$ and $B(0,-2)$, 

$A B=\sqrt{(0-0)^{2}+(-2-6)^{2}}$ 

$=\sqrt{0+(-8)^{2}}=\sqrt{8^{2}}=8$

 

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