If x/b-c=y/c-a=z/a-b,prove that ax + by + cz=0
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Let ax = by = cz = k, then
x = k/a, y = k/b and z = k/c
L.H.S. = x2/yz + y2/zx + z2/xy
= k2/a2 × k/b × k/c + k2/b2 × k/c × k/a + k2/c2 × k/a × k/b
= bc/a2 + ca/b2 + ab/c2
= R.H.S
Step-by-step explanation:
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