A straight line has an –intercept of and forms an angle of with the positive…

MATHEMATICS · Multi-part · CBSE · Mathematics · Straight Lines · Straight Lines

Problem

A straight line has an

x

–intercept of

3

and forms an angle of

60^{\circ}

with the positive direction of the

x

–axis. (i) Derive the equation of the line in general form. (ii) Find the coordinates of the point where this line meets the

y

–axis. (iii) Calculate the area of the triangle enclosed by the line and the coordinate axes.