Application of DerivativeHard
Question
The coordinates of the points on the curve x = a (θ + sinθ), y = a (1 - cosθ), where tan gent is inclined an angle π/4 to the x-axis are-
Options
A.(a, a)
B.
C.
D.
Solution
The co-ordinates x = a(θ + sin θ) ; y = a (1 - cos θ)
= a (1 + cosθ)
= a 
= a sin θ = 2 a sin 
cos 
= tan 
= tan 
given
1 = tan
θ =
point x = a (θ + sin θ)
x = a
y = a (1 - 0)
point is
= a (1 + cosθ) = a = a sin θ = 2 a sin cos = tan = tan given1 = tan
θ =
point x = a (θ + sin θ)
x = a
y = a (1 - 0)
point is
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