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If \(x=9\) is a point on the graph of the function \(y=\sqrt{x}\), what is the value of \(y\)?यदि फलन \(y=\sqrt{x}\) के आलेख पर \(x=9\) है, तो \(y\) का मान क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 33
Substituting \(x=9\) into the function gives \(y=\sqrt{9}=3\). The principal value of a square root is always non-negative, so \(-3\) is not correct. Exam tip: remember that \(\sqrt{a^2}=|a|\), not always \(a\).फलन में \(x=9\) रखने पर \(y=\sqrt{9}=3\) प्राप्त होता है। वर्गमूल फलन \(y=\sqrt{x}\) का मुख्य मान हमेशा गैर-ऋणात्मक होता है, इसलिए \(-3\) सही नहीं है। परीक्षा में याद रखें कि \(\sqrt{a^2}=|a|\), न कि हमेशा \(a\)।
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