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A plane makes intercepts -6,3,4 upon the...

A plane makes intercepts `-6,3,4` upon the coordinate axes. Then, the length of the perpendicular from the origin on it is

A

`(2)/(sqrt29)`

B

`(3)/(sqrt29)`

C

`(4)/(sqrt29)`

D

`(12)/(sqrt29)`

Text Solution

Verified by Experts

The correct Answer is:
D
Let , the equation of plane is
` - (x ) /( 6) + ( y ) /(3) + (z ) /( 4 ) = 1 `
` therefore ` The perpendicular distance from origin to the above plane.
` = ( 1 ) /( sqrt( (4 + 16 + 9 ) /( 144))) = ( 12 ) /( sqrt ( 29)) `
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 15-PAPER 2 (MATHEMATICS)
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