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From the point P(a ,b ,c), let perpendic...

From the point `P(a ,b ,c),` let perpendicualars `P La n dP M` be drawn to `Y O Za n dZ O X` planes, respectively. Then the equation of the plane `O L M` is
a. `x/a+y/b+z/c=0` b. `x/a+y/b-z/c=0` c. `x/a-y/b-z/c=0` d. `x/a-y/b+z/c=0`

A

`(x)/(a)+(y)/(b)+(z)/(c)=0`

B

`(x)/(a)+(y)/(b)-(z)/(c)=0`

C

`(x)/(a)-(y)/(b)-(z)/(c)=0`

D

`(x)/(a)-(y)/(b)+(z)/(c)=0`

Text Solution

Verified by Experts

The correct Answer is:
b
Coordinates of L and M are (0,b,c) and (a,0,c), respectively. Therefore, the equation of the plane passing through (0,0,0), (0,b,c) and (a,0,c) is
`|[x-0,y-0,z-0],[0,b,c],[a,0,c]|=0or(x)/(a)+(y)/(b)-(z)/(c)=0`
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