If (ax)/(cos theta)+(by)/(sin theta)=(a^(2)-b^(2)) ,and (ax-Turito

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Maths-

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Question

If $fraction numerator a x over denominator cos invisible function application theta end fraction plus fraction numerator b y over denominator sin invisible function application theta end fraction equals open parentheses a squared minus b squared close parentheses$ ,and $fraction numerator a x sin invisible function application theta over denominator cos squared invisible function application theta end fraction minus fraction numerator b y cos invisible function application theta over denominator sin squared invisible function application theta end fraction equals 0$ ,then $left parenthesis a x right parenthesis to the power of 2 divided by 3 end exponent plus left parenthesis b y right parenthesis to the power of 2 divided by 3 end exponent equals$

${(a^{2} - b^{2})}^{2 / 3}$
${(a^{2} + b^{2})}^{2 / 3}$
${(a^{2} + b^{2})}^{3 / 2}$
${(a^{2} - b^{2})}^{3 / 2}$

The correct answer is: $open parentheses a squared minus b squared close parentheses to the power of 2 divided by 3 end exponent$

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