Find the equation of the straight line which cuts off intercept on X-axis which is twice that on Y-axis and is at a unit distance from the origin.

Explanation

Eqaution of a straight line can be given as,

`x/a+y/b = 1`

It is given that, `a = 2b`

`:. x/(2b) +y/b = 1`

Also, it is given that distance of this line from the origin is unit that is `1`.

`:. |sqrt(1/b^2+1/(4b^2))| = 1`

`=>1/b^2+1/(4b^2) = 1^2`

`=>5 = 4b^2`

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