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JEE Advance - Mathematics (1980 - No. 5)

Given $$A = {\sin ^2}\theta + {\cos ^4}\theta $$ then for all real values of $$\theta $$
$$1 \le A \le 2$$
$${3 \over 4} \le A \le 1$$
$${13\over 16} \le A \le 1$$
$${3 \over 4} \le A \le {{13} \over {16}}$$

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