TMUA Sed (CoderLovesEggs) Paper 1 with Solutions · Question 13 · ExamDay

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Sed (CoderLovesEggs) Paper 1 with Solutions · Q13

Paper 1Algebra

The equations

\begin{cases}2^x+2^{y+1}=p\\2^y+2^{x+1}=q\end{cases}

have a solution pair $(x,y)$ precisely for:

A

\dfrac12<\dfrac pq<2

where

p,q>0

;

B

\dfrac12\le\dfrac pq\le2

where

p,q>0

;

C

\dfrac12<\left|\dfrac pq\right|<2

;

Dall values of

p

and

q

where

p,q\ne0

;

Eall values of

p

and

q

where

p,q>0

;

Fall values of

p

and

q

.

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