If the equation of a plane P, passing through the intesection of the planes, x+4 y-z+7=0 and3 x+y+5 z=8 is a x+b y+6 z=15 for some {a}, {b} \\in{R}, then the distance of the point (3,2, -1 ) from the plane P is ______. [4 Sep 2020 Shift 1]

Three Dimensional Geometry Part 2

Section: Mathematics

Question : 97 of 100

Marks: +1, -0

If the equation of a plane P, passing through the intesection of the planes, x+4y−z+7=0 and3x+y+5z=8 is ax+by+6z=15 for some a, b∈R, then the distance of the point (3,2, -1 ) from the plane P is ______.

[4 Sep 2020 Shift 1]

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−7	4	−1
8	1	5
15	b	6

1	4	−1
3	1	5
a	b	6