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Q.The differential equation of all parabolas with axis along the x-axis is

a
d3ydx3=0\dfrac{d^3 y}{dx^3} = 0
b
d2ydx2=0\dfrac{d^2 y}{dx^2} = 0
c
dydx=0\dfrac{dy}{dx} = 0
d
(dydx)2=kd2ydx2\left( \dfrac{dy}{dx} \right)^2 = k \dfrac{d^2 y}{dx^2}

Correct Answer: Option A

The correct solution involves applying the fundamental concept to derive the final value step by step...

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