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

2x + 3y + 4z = 4

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2x - 3y + 4z + 4 = 0

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2x - 3y + 4z + 4 = 0

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2x + 3y - 4z + 4 = 0

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Solution

The correct option is D
2x + 3y - 4z + 4 = 0

Plane parallel to the plane 2x + 3y - 4z = 0 is 2x + 3y - 4z + k = 0 .....(i)
Also plane (i) is passing through (1,2,3)
$∴$ (2) (1) + (3) (2) - (4) (3) + k - 0 $\Rightarrow$ k - 4
$∴$ Required plane is 2x + 3y - 4z + 4 = 0.

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