Class 11 Mathematics - Straight Lines - Various forms of the equation of a line Medium Quiz

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रेखा \(2x-3y=9\) के x-अक्षीय प्रतिच्छेद का x-निर्देशांक क्या है?

What is the x-coordinate of the x-intercept of the line \(2x-3y=9\)?

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Correct Answer

A. \(x=\frac{9}{2}\)

Explanation

Simple Explanation

x-अक्ष पर प्रत्येक बिंदु के लिए \(y=0\) होता है। अतः समीकरण में रखने पर \(2x-3(0)=9\), यानी \(2x=9\) और \(x=\frac{9}{2}\) प्राप्त होता है। इसलिए प्रतिच्छेद-बिंदु \(\left(\frac{9}{2},0\right)\) है। परीक्षा-युक्ति: x-अक्षीय प्रतिच्छेद निकालने के लिए हमेशा \(y=0\) रखें; y-अक्षीय प्रतिच्छेद के लिए \(x=0\) रखें। / Every point on the x-axis has \(y=0\). Substituting this in the equation gives \(2x-3(0)=9\), so \(2x=9\) and \(x=\frac{9}{2}\). Therefore, the intercept point is \(\left(\frac{9}{2},0\right)\). Exam tip: set \(y=0\) to find an x-intercept and set \(x=0\) to find a y-intercept.

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