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How many tangents are parallel to X-axis...

How many tangents are parallel to X-axis for the curve `y = x^2 - 4x + 3` ?

A

1

B

2

C

3

D

no tangent is parallel to x axis

Text Solution

Verified by Experts

The correct Answer is:
A
Let `y = x^(2)-4x+3`
Differentiate both sides w.r.t 'x'
`(dy)/(dx)=-2x-4`
So slope =2x-4
since tangent is || to x axis
`therefore` slope =0
`rar (dy)/(dx)=0 rarr 2x-4=0 rarr x=4/2 =2`
`rarr` one tangent
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NDA PREVIOUS YEARS-APPLICATION OF DERIVATIVES -Example
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