Application of DerivativeHard
Question
The slope of the normal to the curve x = a (θ - sinθ), y = a(1 - cosθ) at point θ = π/2 is -
Options
A.0
B.1
C.-1
D.1√2
Solution
The slope of normal
x = a (θ - sinθ); y = a (1 - cosθ)
at θ = π/2
= a (1- cosθ) = a
= asinθ = a
= 1 ⇒
= - 1
x = a (θ - sinθ); y = a (1 - cosθ)
at θ = π/2
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