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प्रश्न
Find the Cartesian equation of the plane passing through A( -1, 2, 3), the direction ratios of whose normal are 0, 2, 5.
उत्तर
The Cartesian equation of the plane passing through (x1, y1, z1), the direction ratios of whose normal are a, b, c, is
a(x – x1) + b(y – y1) + c(z – z1) = 0
∴ the cartesian equation of the required plane is
0(x + 1) + 2(y – 2) + 5(z – 3) = 0
i.e. 0 + 2y - 4 + 5z – 15 = 0
i.e. 2y + 5z = 19.
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