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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/"a" + y/"b" + z/"c"` = 1.
Explanation:
Given points are (2, 0, 0), (0, 3, 0) and (0, 0, 4).
So, the intercepts cut by the plane on the axes are 2, 3, 4
Equation of the plane (intercept form) is `x/"a" + y/"b" + z/"c"` = 1
⇒ `x/2 + y/3 + z/4` = 1
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