Geometrically the Mean Value theorem ensures that there is at least one point on the curve f(x) , whose abscissa lies in (a, b) at which the tangent is

Parallel to the x axis

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Parallel to the line y = x

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Parallel to the y axis

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Solution

The correct option is A
Parallel to the x axis

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Geometrically Rolle's theorem ensures that there is at least one point on the curve f(x) , whose abscissa lies in (a, b) at which the tangent is

x = a \sqrt{(c o s 2 θ)} c o s θ, y = a \sqrt{(c o s 2 θ)} s i n θ

θ = \frac{π}{6}

\frac{d x}{d y}

\sqrt{c o s 2 θ} c o s θ, y = a \sqrt{c o s 2 θ} s i n θ

θ = \frac{π}{6}

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