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Question

Equation of the plane perpendicular to the line x1=y2=z3 and passing through the point (2,3,4) is


A

2x+3y+z=17

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B

x+2y+3z=9

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C

3x+2y+z=16

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D

x+2y+3z=20

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Solution

The correct option is D

x+2y+3z=20


Explanation for the correct option:

Given,

The direction ratios of the lines are =i^,2j^,3k^

According to the question,

given line is perpendicular to the plane

The direction ratios of the plane are also =i^,2j^,3k^

The equation of plane passing through (2,3,4) is

a(x-2)+b(y-3)+c(z-4)=0

1(x-2)+2(y-3)+3(z-4)=0

x+2y+3z=20

Hence, Option ‘D’ is Correct.


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