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If f(x) = x² + ax + 2 and g(x) = x² − 2ax + 1, and (f − g)(3) = 22, what is the value of a?यदि f(x) = x² + ax + 2 और g(x) = x² − 2ax + 1 हैं तथा (f − g)(3) = 22, तो a का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 7/37/3
Subtract the functions: (f − g)(x) = (x² + ax + 2) − (x² − 2ax + 1) = 3ax + 1. Thus, (f − g)(3) = 9a + 1 = 22, so 9a = 21 and a = 7/3. Therefore, option D is correct.फलनों का अंतर निकालें: (f − g)(x) = (x² + ax + 2) − (x² − 2ax + 1) = 3ax + 1। इसलिए (f − g)(3) = 9a + 1 = 22, जिससे 9a = 21 और a = 7/3 मिलता है। अतः विकल्प D सही है।
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