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The line \(y=\frac{5}{6}x+c\) passes through ((12,19)). What is (c)?रेखा \(y=\frac{5}{6}x+c\) बिंदु ((12,19)) से गुजरती है। (c) क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 99
For the given point, substitute \(x=12\) and \(y=19\): \(19=\frac{5}{6}\times 12+c\). Since \(\frac{5}{6}\times 12=10\), we get \(19=10+c\), so \(c=9\). Option 10 is the value of the slope term, not the y-intercept. Exam tip: in \(y=mx+c\), substitute both coordinates of the given point to find \(c\).दिए गए बिंदु के लिए \(x=12\) और \(y=19\) रखें: \(19=\frac{5}{6}\times 12+c\)। यहाँ \(\frac{5}{6}\times 12=10\), इसलिए \(19=10+c\) और \(c=9\)। विकल्प 10 ढाल वाले पद का मान है, y-अवरोध नहीं। परीक्षा टिप: \(y=mx+c\) में बिंदु के दोनों निर्देशांक रखकर सीधे \(c\) ज्ञात करें।
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