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Question

The equation of the straight line which makes an angle of 15 with the positive direction of x-axis and cuts an intercept of length 4 on the negative direction of y-axis, is



Solution

The correct option is D


The slope of the line = m = tan 15= tan (4530)

=tan 45tan 301+tan 45.tan 30=1131+13=(31)231=4232=23

Also, the intercept on y-axis = c = –4

Therefore, the equation of the line is

y=(23)x4 or (23)xy4=0

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