Find the equation of the line which makes an angle of 30° with the positive direction of the x-axis and cuts off an intercept of 4 units with the negative direction of the y - axis ?

Answer (Detailed Solution Below)

Option 4 :
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Detailed Solution

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CONCEPT:

The equation of a line whose slope is m and which makes an intercept c on the Y-axis is given by: y = mx + c

CALCULATION:

Here, we have to find the equation of the line which makes an angle of 30° with the positive direction of the x-axis and cuts off an intercept of 4 units with the negative direction of the y - axis

As we know that, equation of a line whose slope is m and which makes an intercept c on the Y-axis is given by: y = mx + c

Here, we have c = - 4 and 

So, the equation of the required line is: 

⇒ 
 
So, the equation of the required line is 
 
Hence, option D is the correct answer.

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