AP EAPCET 19-Aug-2021 Shift 1 Paper

Let the equation of line parallel to X-axis is y=a
Then, point of intersection of the line and the curve y=√x is (a2,a).
The slope of the curve at any point

dy

dx

=

1

2√x

At (a2,a) curve and line makes an angle of 45°
⇒(

dy

dx

)(a2,a)=tan‌45°=1
⇒

1

2√a2

=1
a=

1

2

∴ Line is y=

1

2