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Mathematics
Problem
At which point on the curve
y
=
x
y=\sqrt{x}
y
=
x
does the tangent make an angle of
45
∘
45^{\circ}
4
5
∘
with the positive
x
x
x
-axis? a)
(
1
2
,
1
2
)
\left(\dfrac{1}{2},\dfrac{1}{\sqrt{2}}\right)
(
2
1
,
2
1
)
b)
(
1
4
,
1
2
)
\left(\dfrac{1}{4},\dfrac{1}{2}\right)
(
4
1
,
2
1
)
c)
(
1
2
,
1
4
)
\left(\dfrac{1}{2},\dfrac{1}{4}\right)
(
2
1
,
4
1
)
d)
(
1
16
,
1
4
)
\left(\dfrac{1}{16},\dfrac{1}{4}\right)
(
16
1
,
4
1
)
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