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JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

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Analyzing +4 | -1
If a  sin⁡2  x+b  cos⁡2  x=c,    b  sin⁡2  y+a  cos⁡2  y=da\,\,{\sin ^2}\,\,x + b\,\,{\cos ^2}\,\,x = c,\,\,\;b\,\,{\sin ^2}\,\,y + a\,\,{\cos ^2}\,\,y = d and a  tan⁡  x=b  tan⁡  ya\,\,\tan \,\,x = b\,\,\tan \,\,y, then a2b2\frac{{{a^2}}}{{{b^2}}} is equal to

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Correct option: B
(a−d)  (c−a)(b−c)  (d−b)\frac{{\left( {a - d} \right)\,\,\left( {c - a} \right)}}{{\left( {b - c} \right)\,\,\left( {d - b} \right)}}
Option B ((a−d)(c−a)(b−c)(d−b)\frac{{\left( {a - d} \right)\left( {c - a} \right)}}{{\left( {b - c} \right)\left( {d - b} \right)}}) is correct because it is derived from manipulating the given equations and using trigonometric identities.

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