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प्रश्न
The Cartesian equation of a plane through A (7, 8, 6) and parallel to the XY plane is
पर्याय
z = 7
z = 8
z = 6
z = 4
MCQ
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उत्तर
z = 6
Explanation:
The equation of plane through A(7, 8, 6) is
a(x − 7) + b(y − 8) + c(z − 6) = 0 ...(i)
Since the required plane is parallel to the XY plane
∴ Direction ratios are 0, 0, 1.
∴ The equation of a plane is
0(x − 7) + 0(y − 0) + 1(z − 6) = 0
⇒ z − 6 = 0
⇒ z = 6
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