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Condition for Two Lines to Be Parallel

Find the equa...

Question

Find the equations of the planes parallel to the plane x+2y+2x+8=0 which are at the distance of 2 units from the point (1,1,2).

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Solution

$\begin{matrix} x + 2 y + 2 z + c = 0 \frac{| 1 + 2 (1) + 2 (2) + c |}{\sqrt{9}} = 2 | c + 7 | = 6 c = - 1, c = - 13 E q u a t i o n o f p l a n e a r e x + 2 y + 2 z - 1 = 0 o r x + 2 y + 2 z - 13 = 0 \end{matrix}$

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Condition for Two Lines to Be Parallel

Standard XII Mathematics

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