Question

Which of the points below does not lie on the curve y=x^2

Answer 1

Options:

`A.\ ((3)/(2), (9)/(2))`

`B.\ (-1, 1)`

`C.\ (4, 16)`

`D.\ ((1)/(2), (1)/(4))`

Answer:

`A.\ ((3)/(2), (9)/(2))`

Explanation:

Given

`y = x^2`

Required

Determine which of the given points is not true

`A.\ ((3)/(2), (9)/(2))`

Here

`x = (3)/(2)` and
`y = (9)/(2)`

Substitute these values in
`y = x^2`

`(9)/(2) = ((3)/(2))^2`

`(9)/(2) = (3)/(2)*(3)/(2)`

`(9)/(2) \\e (9)/(4)`

Both sides of the equation are not equal. Hence, this point do not line on the curve

`B.\ (-1, 1)`

Here

`x = -1` and
`y = 1`

Substitute these values in
`y = x^2`

`1 = (-1)^2`

`1=1`

Both sides of the equation are equal. Hence, this point line on the curve

`C.\ (4, 16)`

Here

`x = 4` and
`y = 16`

Substitute these values in
`y = x^2`

`16 = 4^2`

`16 = 16`

Both sides of the equation are equal. Hence, this point line on the curve

`D.\ ((1)/(2), (1)/(4))`

Here

`x = (1)/(2)` and
`y = (1)/(4)`

Substitute these values in
`y = x^2`

`(1)/(4) = ((1)/(2))^2`

`(1)/(4) = (1)/(2)*(1)/(2)`

`(1)/(4) = (1)/(4)`

Both sides of the equation are equal. Hence, this point line on the curve

From the calculations above; only
`A.\ ((3)/(2), (9)/(2))` do no lie on the curve