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What is the equation of the line joining the origin with the point of intersection of the lines `4x+3y=12` and `3x+4y=12` ?A. `x+y=1`B. `x-y=1`C. `3y=4x`D. `x=y`

Answer» Correct Answer - D
The equation of given lines are
`4x+3y=12` ...(i)
and `3x+4y=12` ...(ii)
On simplifying (i) and (ii), we get
`x=12/7 and y=12/7`
`:.` Point of intersection of given line is `(12/7, 12/7)`. Hence, the equation of line passing through (0, 0) and `(12/7, 12/7)` is
`(y-0)/(x-0)=(12/7-0)/(12/7-0) implies y=x`


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