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Question

Mathematics Question on Three Dimensional Geometry

Plane P3 is passing through (1,1,1) and line of intersection of P1 and P2 where P1:2xy+z=5P_{1}: 2x - y + z = 5 and P2:x+3y+2z+2=0P_{2}: x + 3y + 2z + 2 = 0. Then distance of (1,1,10) from P3 is:

A

5385\frac{53}{85}

B

85\sqrt{85}

C

5285\frac{52}{\sqrt{85}}

D

53

Answer

5285\frac{52}{\sqrt{85}}

Explanation

Solution

The correct option is (C): 5285\frac{52}{\sqrt{85}}