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Asked by g_archanasharma | 19 Mar, 2019, 10:04: PM
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f colon left square bracket negative 20 comma space 20 right square bracket rightwards arrow R space i s space d e f i n e d space b y space f left parenthesis x right parenthesis equals open square brackets x squared over a close square brackets sin x plus cos x I t space i s space g i v e n space t h a t space t h e space f u n c t i o n space f space i s space a n space e v e n space f u n c t i o n rightwards double arrow f left parenthesis x right parenthesis equals f left parenthesis negative x right parenthesis space....... space left parenthesis i right parenthesis N o w comma space f left parenthesis negative x right parenthesis equals open square brackets fraction numerator left parenthesis negative x right parenthesis squared over denominator a end fraction close square brackets sin left parenthesis negative x right parenthesis plus cos left parenthesis negative x right parenthesis space space space space space space space space space space space space space space space space space space space equals negative open square brackets x squared over a close square brackets sin x plus cos x space.... space S i n c e space sin left parenthesis negative x right parenthesis equals negative sin space x space a n d space cos left parenthesis negative x right parenthesis equals cos space x F r o m space left parenthesis i right parenthesis comma space w e space h a v e open square brackets x squared over a close square brackets sin x plus cos x equals negative open square brackets x squared over a close square brackets sin x plus cos x rightwards double arrow 2 open square brackets x squared over a close square brackets sin x equals 0 rightwards double arrow e i t h e r space open square brackets x squared over a close square brackets equals 0 space o r space sin space x equals 0 rightwards double arrow x squared over a element of left square bracket 0 comma 1 right parenthesis space o r space x equals 0 N o w comma space x element of left square bracket negative 20 comma space 20 right square bracket space rightwards double arrow x squared element of left square bracket 0 comma space 400 right square bracket S i n c e comma space x squared over a less than 1 space a n d space 0 less or equal than x squared less or equal than 400 rightwards double arrow a greater than 400 space a l w a y s rightwards double arrow a element of left parenthesis 400 comma infinity right parenthesis
Answered by Renu Varma | 20 Mar, 2019, 09:52: AM

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JEE main - Maths
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