Find the equation of the plane passing through the point (2,3,5) and making equal intercepts on the coordinate axes. The answer given in the book is: x+y+z =10

Asked by Manoj | 21st May, 2013, 06:45: PM

Expert Answer:

Let the intercepts made by the line on x, y and z axis be m. 
 
hence, equation of line would be 
 
x/m +y/m + z/m = 1
x+y+z = m
Now, this line passes through (2,3,5)
Hence, 2+3+5 = m
m = 10
 
So, the equation of line: x+y+z = 10

Answered by  | 22nd May, 2013, 08:23: AM

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