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G Gautam harsolia
Given the equation of the line is we can rewrite it as Let's take point on y-axis is  It is given that the distance of the point  from line  is 4 units Now, In this problem  Case (i) Therefore, the point is          -(i) Case (ii)  Therefore, the point is           -(ii) Therefore, points on the -axis  whose distance from the line   is units are   and  

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G Gautam harsolia
Let the intercepts on x and y-axis are a and b respectively It is given that Now, when  and when  We know that the intercept form of the line is Case (i)    when  a = 3 and  b = -2 Case (ii)   when  a = -2 and  b = 3 Therefore, equations of lines are  

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G Gautam harsolia
The normal form of the line is      Given the equation of lines is First, we need to convert it into normal form. So, divide both the sides by  On comparing both we will get Therefore, the answer is  

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G Gautam harsolia
Given equation of line is  and equation of y-axis is  it is given that these two lines are parallel to each other Therefore, their slopes are equal Slope of  is , and Slope of line   is ,  Now, Therefore, value of k is 

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G Gautam harsolia
Given equation of line is  and equation of x-axis is  it is given that these two lines are parallel to each other Therefore, their slopes are equal Slope of  is , and Slope of line   is ,  Now, Therefore, value of k is 3  
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