If a plane passes through the point (1,1,1)and is perpendicular to line x−13=y−10=z−14 , then its perpendicular distance from the origin is
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a
34
b
43
c
75
d
1
answer is C.
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Detailed Solution
Equation of plane through (1,1,1) and perpendicular to line x−13=y−10=z−14 is 3(x−1)+0(y−1)+4(z−1)=0 or 3x+4z−7=0 Distance of plane from the origin |0+0−79+16|=75