Q. 255.0( 2 Votes )

Find the equation of the straight line which cuts off intercepts on x-axis twice that on y-axis and is at a unit distance from the origin.

Answer :

To find:


The equation of the straight line which cuts off intercepts on x-axis twice that on y-axis and is at a unit distance from the origin.


Assuming:


Intercepts on x-axis and y-axis be 2a and a, respectively.


Explanation:


So, the equation of the line with intercepts 2a on x-axis and a on y-axis be



x + 2y = 2a … (1)


Let us change equation (1) into normal form.




Thus, the length of the perpendicular from the origin to the line (1) is


Given:


P = 1




Required equation of the line:


x + 2y


x + 2y + = 0


Hence, equation of required line is x + 2y + = 0.


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