Question

If $a, x, y, b$ are in G.P., then $(x+y)^{2}=$

• A. $(a+x)(y+b)$
• B. $(b+x)(y+a)$
• C. $(a+2x)(y+b)$
• D. $(a+x)(y+2b)$
• E. $(a+2x)(y+2b)$

Hint:

Logic Tip: You can also solve this by picking simple numbers for the G.P. sequence. Let $a=1, x=2, y=4, b=8$ ($r=2$). Then $(x+y)^2 = (2+4)^2 = 36$. Testing Option A: $(1+2)(4+8) = 3 \cdot 12 = 36$.

Answer 1

The Correct Option is A