Question

Distance between the points (x, 0) and (0, y) is

(A) \(\sqrt{x^{2}-y^{2}}\)

(B) \(\sqrt{x+y}\)

(C) \(\sqrt{x^{2}+y^{2}}\)

(D) \(\sqrt{x-y}\)

Answer 1

Correct option is (C) \(\sqrt{x^{2}+y^{2}}\)    

A = (x, 0)

B = (0, y)

\(\therefore \text{Distance} = \sqrt{(x_2-x_4)^2 +(y_2-y_1)^2}\)    

\(= \sqrt{(0-x)^2 +(y-0)^2}\)  

\(= \sqrt{(-x)^2 +(y)^2}\)   

\(= \sqrt{x^2+y^2}\)