Question
Asked By BlueHorizon49 at
Answered By Expert
Carlos
Expert · 1.0k answers · 1k people helped
Step 1/3
We have to check true/false of the given expression
A. `(x-y+z)/(y-x-z)=1`Taking LHS
`(x-y+z)/(y-x-z) = -((x-y+z))/((-y+x+z))`
` = -1!=1`
`LHS \ne RHS`
The given expression is false
Step 2/3
B. `3a-b<1/(3a+b)=>9a^2-b^2<1`Explanation:
We know `(a-b)(a+b)=a^2-b^2``3a-b < 1/(3a+b)`
Multiplying both sides by `3a+b``(3a-b)(3a+b) < 1`
`9a^2-b < 1`
True
Step 3/3
C. `p^2-pq+q^2=(p-q)^2`Explanation:
We know `(x-y)^2=x^2+y^2-2xy``(p-q)^2 = p^2-2pq+q^2`
So
`p^2-pq+q^2 \ne (p-q)^2`
Final Answer
Hence, only (B) is true remaining all false
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