Answer:
Option B
Explanation:
According to the given information,
dydx=1 ..............(i)
∵ dydθ=asinθ and dxdθ=a(1+cosθ)
∴ dydx=dydθdxdθ=asinθa(1+cosθ)=1
⇒sinθ1+cosθ=1⇒2sinθ2cosθ22cos2θ2=1⇒tanθ2=1
⇒θ2=π4⇒θ=π2
So, the required point on the curve is (a(π2+1)a)
hence , option (b) is correct