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Grade: 8
        If x, z, y, a, b, c are real and non is zero  xy=a xz=b yz=c then x square +y square +z square=_
7 months ago

Answers : (2)

Arun
12267 Points
							Dear Bharat
I think the question should be the to find the value of  x2 – y2 + z2
please check and repost the question
Regards
Arun (askIITians forum expert)
7 months ago
Arun
12267 Points
							Sorry, I got your question
xy = a           …....(i)
xz = b          …....(ii)
yz = c         …......(iii)
now  multiply (i) and (ii)
x2yz = ab
similarly
xy2z = ac
xyz2 = bc
now x2 = ab/yz = ab/c
similarly
y2 = ac / xz = ac/b
z2 = bc/ xy = bc / a
hence
x2 +  y2 + z2 = ab/c + ac/b +  bc/a
Regards
Arun (askIITians forum expert)
7 months ago
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