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The distance between the highest point o...

The distance between the highest point on the graph of `y =-(x-1) (x-3)` and the lowest point on the graph of `y =x(x-4)` is -

A

`0`

B

`3`

C

`4`

D

`5`

Text Solution

Verified by Experts

The correct Answer is:
D
`y = -(x-1)(x - 3)`
Highest point occures at `x = 2`.
Lowest point of `y = x(x-4)` occurs at `x = 2`
so, `y = 2(-2)= -4`
Thus, difference `= 1 - (-4) = 5`
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