The line which is parallel to x-
axis and crosses the curve y=√x
at an angle of π/4 is
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Let the line parallel to x axis be y=k.So,the point of intersection of the line and the curve will be (k
2
,k) . The slope of the curve at any point (x,y) is
∂x
∂y
=
2
x
1
=
2k
1
=1
Hence k=1/2
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