Reduce the following equations into slope – intercept form and find their slopes and the y

Reduce the following equations into slope – intercept form and find their slopes and the y – intercepts.(iii) y = 0

Class 11 | Exercise 10.3 | Maths | NCERT | Straight Lines

Reduce the following equations into slope – intercept form and find their slopes and the y – intercepts.(iii) y = 0

\[\left( \mathbf{iii} \right)\text{ }\mathbf{y}\text{ }=\text{ }\mathbf{0}\]

Given:

The condition is \[\mathbf{y}\text{ }=\text{ }\mathbf{0}\]

Slant – catch structure is given by\[‘\mathbf{y}\text{ }=\text{ }\mathbf{mx}\text{ }+\text{ }\mathbf{c}’\] , where m is the incline and c is the y capture

\[\mathbf{y}\text{ }=\text{ }\mathbf{0}\text{ }\times \text{ }\mathbf{x}\text{ }+\text{ }\mathbf{0}\]

∴ The above condition is of the structure\[\mathbf{y}\text{ }=\text{ }\mathbf{mx}\text{ }+\text{ }\mathbf{c}\] , where \[\mathbf{m}\text{ }=\text{ }\mathbf{0}\text{ }\mathbf{and}\text{ }\mathbf{c}\text{ }=\text{ }\mathbf{0}.\]

i

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Let $\begin{array}{l} f(x) = \left\{ \begin{array}{l} \frac{x}{{|x|}},x \ne 0\\ 0,x = 0 \end{array} \right.\\ \end{array}$ . Show that $\begin{array}{l} \mathop {\lim }\limits_{x \to 0} f(x) \end{array}$ does not exist.

Let $\begin{array}{l} f(x) = \left\{ \begin{array}{l} \frac{|x-3|}{{(x-3)’}},x \ne 3\\ 0,x = 3 \end{array} \right.\\ \end{array}$ . Show that $\begin{array}{l} \mathop {\lim }\limits_{x \to 3} f(x) \end{array}$ does not exist.

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