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The planes: 2x y + 4z = 5 a n d 5x 2. ...

The planes: `2x y + 4z = 5 a n d 5x 2. 5 y + 10 z = 6`are

A

perpendicular

B

parallel

C

intersect along Y-axis

D

Passes through `(0,0,(5)/(4))`

Text Solution

Verified by Experts

The correct Answer is:
B
Here , DR's of both planes are (2,-1,4) and (5,-2.5,10).
As `(2)/(5)=(-1)/(-25)=(4)/(10)`
`rArr" "(4)/(10)=(4)/(10)=(4)/(10)`
`i.e." "(a_(1))/(a_(2))=(b_(1))/(b_(2))=(c_(1))/(c_(2))`
Therefore, the given planes are parallel.
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Knowledge Check

  • The planes : 2x - y + 4z = 5 and 5x - 2.5y + 10z = 6 are

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