यदि \(f:\mathbb{R}\to\mathbb{R}\) को (f(x)=\frac{1}{x-2+ax+9}) से परिभाषित करना हो, तो पूरे \(\mathbb{R}\) पर फलन बनने के लिए (a) की कौन सी शर्त सही है?
If \(f:\mathbb{R}\to\mathbb{R}\) is to be defined by (f(x)=\frac{1}{x-2+ax+9}), which condition on (a) makes it a function on all of \(\mathbb{R}\)?
Explanation opens after your attempt
Correct Answer
A. (|a|<6)
Concept
The denominator must never be zero, so the discriminant must satisfy \(a^2-36<0\). Hence (|a|<6) is correct.
Why this answer is correct
The correct answer is A. (|a|<6). The denominator must never be zero, so the discriminant must satisfy \(a^2-36<0\). Hence (|a|<6) is correct.
Exam Tip
हर कभी शून्य नहीं होना चाहिए, इसलिए विविक्तिका \(a^2-36<0\) चाहिए। अतः (|a|<6) सही है।
Login to save your score, XP, coins and progress.