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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` |
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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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