If the normal to the curve x 2/3 + y 2/3 = a 2/3 makes an angle ϕ with the X - axis, then the equation of that normal is

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If the normal to the curve $x^{2 / 3}+y^{2 / 3}=a^{2 / 3}$ makes an angle $\phi$ with the $\mathrm{X}$ - axis, then the equation of that normal is

MathematicsApplication of DerivativesAP EAMCETAP EAMCET 2017 (25 Apr Shift 2)

Options:

A $y-a \cos ^2 \phi=x \tan \phi-a^2 \sin ^2 \phi$
B $y \cos \phi-x \sin \phi=a \cos 2 \phi$
C $y \cos \phi-x \sin \phi=a \cos ^2 \phi$
D $y+a \sin ^2 \phi=x \cos \phi-a \sin 2 \phi$

Solution:

1731 Upvotes Verified Answer

The correct answer is: $y \cos \phi-x \sin \phi=a \cos 2 \phi$

No solution. Refer to answer key.

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