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Question

In a three-dimensional space, the equation $$3x - 4y = 0$$ represents.


A
A plane containing Zaxis
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B
A plane containing Xaxis
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C
A plane containing Yaxis
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D
Passing through (0,0)
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Solution

The correct option is A A plane containing $$Z-axis$$
If we consider the z-part also, then the equation is $$3x-4y+0z=0$$
Which means on putting any value of z equation will have no effect as $$0\times z=0$$
$$\therefore$$ it will be a plane containing $$Z-axis$$.($$\because$$ it will pass through all points z if it satisfy condition for$$ (x,y) $$)
(D) is not right because its plane and not a line so it will pass through $$(0,0,0)$$ not $$(0,0)$$.
Hence, $$(A)$$



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