Assertion (a):if (1)/((x-2)(x^(2)+1))=(a)/(x-2)+(bx+c)/(x^(2)+1-Turito

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Maths-

Assertion (A):If $fraction numerator 1 over denominator left parenthesis x minus 2 right parenthesis open parentheses x squared plus 1 close parentheses end fraction equals fraction numerator A over denominator x minus 2 end fraction plus fraction numerator B x plus C over denominator x squared plus 1 end fraction$ ,then A $equals 1 fifth comma B equals 1 fifth comma C equals negative 2 over 5$
Reason (R) : $fraction numerator 1 over denominator left parenthesis x minus a right parenthesis open parentheses x squared plus b close parentheses end fraction equals fraction numerator 1 over denominator a squared plus b end fraction open square brackets fraction numerator 1 over denominator x minus a end fraction minus fraction numerator x plus a over denominator x squared plus b end fraction close square brackets$

Maths-General

Both A & R are true and R is correct explanation of A
Both A & R are true and R is not correct explanation of A
A is true but R is false
A is false but R is true

Answer:The correct answer is: A is false but R is true

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