Question

Which of the following points lies on the circle whose center is at the origin and whose radius is 10?

A.(√10,0)

B.(0,2√5)

C.(5√2,5√2)

Answer 1

C.(5√2,5√2)

Explanation:

Answer 2

The equation is:
`((x - 0)^(2) )/(10^(2) ) + ((y - 0)^(2) )/(10^(2) ) = 1`

=
`(x^(2) )/(10^(2) ) + (y^(2) )/(10^(2) ) = 1`

A)
`((√(10)) ^(2) )/(10^(2) ) + ((0)^(2) )/(10^(2) ) = 1`

⇒
`(10)/(100)` + 0 = 1 FALSE

B)
`((0) ^(2) )/(10^(2) ) + ((2√(5))^(2) )/(10^(2) ) = 1`

⇒ 0 +
`(20)/(100)` = 1 FALSE

C)
`((5√(2)) ^(2) )/(10^(2) ) + ((5√(2))^(2) )/(10^(2) ) = 1`

⇒
`(50)/(100)` +
`(50)/(100)` = 1 TRUE

Answer: C