Question

Which is the correct calculation of the y-coordinate of point
A?

Answer 1

y =
`√(3)`

Explanation:

The given circle has a radius of 2 thus OA = 2 , hypotenuse of right triangle

Using Pythagoras' identity in the right triangle formed to find y

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

1² + y² = 2²

1 + y² = 4 ( subtract 1 from both sides )

y² = 3 ( take the square root of both sides )

y =
`√(3)`

Thus A = (1,
`√(3)` )

Answer 2

The answer is D

`\sqrt{(0-1)^(2)+(0-y)^(2)}=2`

ON EDGE