मराठी

Find the Equation of the Line Which Intercepts a Length 2 on the Positive Direction of the X-axis and is Inclined at an Angle of 135° with the Positive Direction of Y-axis. - Mathematics

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प्रश्न

Find the equation of the line which intercepts a length 2 on the positive direction of the x-axis and is inclined at an angle of 135° with the positive direction of y-axis.

थोडक्यात उत्तर
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उत्तर

The required line is shown in the following figure.

The line which is inclined at an angle of 135° with the positive direction of y-axis makes an angle of 45° with x-axis.
Here,

\[m = \tan {45}^\circ = 1\]

Thus, the equation of the required line passing through (2, 0) with slope 1 is

\[y - 0 = 1\left( x - 2 \right) \]

\[ \Rightarrow x - y - 2 = 0\]

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पाठ 23: The straight lines - Exercise 23.4 [पृष्ठ २९]

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आरडी शर्मा Mathematics [English] Class 11
पाठ 23 The straight lines
Exercise 23.4 | Q 9 | पृष्ठ २९
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