Q2 of 112 Page 163

Find the equations of the straight lines parallel to the coordinate axes and passing through the point (–5,–2).

A line parallel to x axis is horizontal line and when this line passes through the given point (–5,–2) the equation of the line would be y = –2


When the line is parallel to the y axis, it is a vertical straight line passing through the point (–5, –2), the required equation of the line would be x = –5


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16

Show that the opposite sides of a quadrilateral with vertices A (–2, –4), B (5, –1), C (6, 4) and D (–1, 1) taken in order are parallel.

 1

Write the equations of the straight lines parallel to x- axis which are at a distance of 5 units from the x–axis.

 3

Find the equation of a straight line whose

(i) slope is –3 and y–intercept is 4. (ii) angle of inclination is 60° and y–intercept is 3.

 4

Find the equation of the line intersecting the y- axis at a distance of 3 units above the origin and tan , where θ is the angle of inclination.