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Find the equation of a plane passing thr...

Find the equation of a plane passing through the points A(a,0,0), B(0,b,0) and C(0,0,c)`.

A

`ax+by+cz=0`

B

`ax+by+cz=1`

C

`(x)/(a)+(y)/(b)+(z)/(c)=1`

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
Given points on the plane are (a,0,0),(0,b,0) and (0,0,c).
`:.` Length of intercept with X-axis Y-axis and Z-axis are a,b, and c respectively.
`:.` Equation of the plane is
`(x)/(a)+(y)/(b)+(z)/(c)=1`
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