Which of the following is parallel to plane 3x - 3y +4z = 7 ?

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Solution

The correct option is D
.

The direction ratios of the given planes are - 3,-3,4. So the direction cosines will be -

$\frac{3}{\sqrt{3^{2} + (- 3)^{2} + (4)^{2}}}, \frac{- 3}{\sqrt{3^{2} + (- 3)^{2} + (4)^{2}}}, \frac{4}{\sqrt{3^{2} + (- 3)^{2} + (4)^{2}}} O r \frac{3}{\sqrt{34}}, \frac{- 3}{\sqrt{34}}, \frac{4}{\sqrt{34}}$

Similarly check the direction cosines of the normal of the given planes and we’ll get that all the direction cosines are same. So all the planes are parallel.

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

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