An equation of the plane passing through the point (1,-1,2)and parallel to the plane 3x + 4y - 5z = 0 is

3x+4x-5z+11=0

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3x+4y-5z=11

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6x+8y-10z=1

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3x+4y-5z=2

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Solution

The correct option is A 3x+4x-5z+11=0
Equation of any plane parallel to the plane 3x + 4y - 5z = 0 is 3x + 4y - 5z = K
If it passes through then (1,-1, 2), then 3-4-5(2) = K $\Rightarrow$ K= -11
So the required equation is 3x+4y-5z+11=0.

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