Mathematics

Write the inclination of a line which is :

(i) parallel to x-axis.

(ii) perpendicular to x-axis.

(iii) parallel to y-axis.

(iv) perpendicular to y-axis.

Coordinate Geometry

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Answer

(i) A line parallel to the x-axis has an inclination of 0°, as it does not make an angle with the x-axis.

Hence, the inclination of the line = 0°.

(ii) A line perpendicular to the x-axis is parallel to the y-axis and makes a 90° angle with the x-axis.

Hence, the inclination of the line = 90°.

(iii) A line parallel to the y-axis is perpendicular to the x-axis, so its inclination is 90°.

Hence, the inclination of the line = 90°.

(iv) A line perpendicular to the y-axis is parallel to the x-axis, so its inclination is 0°.

Hence, the inclination of the line = 0°.

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