Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11
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Reduce the equation √ 3 x + y + 2 = 0 to intercept form and find intercept on the axes . - Mathematics

Answer in Brief

Reduce the equation\[\sqrt{3}\] x + y + 2 = 0 to intercept form and find intercept on the axes.

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Solution

\[\sqrt{3}\] x + y + 2 = 0

\[\Rightarrow \sqrt{3}x + y = - 2\]

\[ \Rightarrow \frac{\sqrt{3}x}{- 2} + \frac{y}{- 2} = 1 \left[ \text { Dividing both sides by } - 2 \right]\]

\[ \Rightarrow \frac{x}{- \frac{2}{\sqrt{3}}} + \frac{y}{- 2} = 1\]

This is the intercept form of the given line.
Here, x-intercept = \[- \frac{2}{\sqrt{3}}\] and y-intercept = \[-\]2

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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 23 The straight lines
Exercise 23.9 | Q 1.2 | Page 72
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