Find partial differential equation of plane having equal x,y intercepts
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Answer:
Clearly the equation of the plane x and y- intercepts are equal
Where a is the arbitrary constant
b is the intercepts for z
Therefore
x/a+y/a+z/c=0 --------------(1)
By differential with respective x from (1)
1/a+0+p/c=0
p/c=-1/a ---------(2)
Again By differential with respective y
0+1/a+q/c=0
q/c=-1/a------(3)
dividing 2 and 3 equations
p/c=-1/a, q/c=-1/a
Where, p/q=1
So p=q
Hence proved
The plane x and y- intercepts are equal
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