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प्रश्न
A plane passes through the points (2, 0, 0) (0, 3, 0) and (0, 0, 4). The equation of plane is ______.
उत्तर
A plane passes through the points (2, 0, 0) (0, 3, 0) and (0, 0, 4). The equation of plane is `x/2 + y/3 + z/4 = 1.
Explanation:
We know that, equation of the plane that cut the coordinate axes at (a, 0, 0) (0, b, 0) and (0, 0, c) is
`x/a + y/b + z/c` = 1
Hence, the equation of plane passes through the points (2, 0, 0) (0, 3, 0) and (0, 0, 4) is `x/2 + y/3 + z/4` = 1
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