Application of DerivativeHard
Question
The line which is parallel to x-axis and crosses the curve y = √x at an angle of π/4 is -
Options
A.y = - 1/2
B.x = 1/2
C.x = 1/4
D.x = 1/2
Solution
Let the line has equation y = c
Now given curve is y = √x
∴
Now c = √x
∴
sin cetan
⇒ 1 =
⇒ 
= ± 1 ⇒ c = ± 
But c is positive ⇒ y =
Now given curve is y = √x
∴
Now c = √x
∴
sin cetan
⇒ 1 =
⇒ = ± 1 ⇒ c = ± But c is positive ⇒ y =
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