Question

- If P, Q and R are in continued proportion and P*R=64, then value of Q could be:​

Answer 1

SOLUTION

GIVEN

P, Q and R are in continued proportion and P × R = 64

TO DETERMINE

The value of Q

EVALUATION

Here it is given that P, Q and R are in continued proportion

So we have

P : Q = Q : R

$\displaystyle \sf \: \frac{P}{Q} = \frac{Q}{R}$

$\displaystyle \sf \implies {Q}^{2} = P \times R$

Now it is given that P × R = 64

Thus we get

$\displaystyle \sf \implies {Q}^{2} = 64$

$\displaystyle \sf \implies {Q}^{} = \pm \: 8$

FINAL ANSWER

Hence the required value of Q = - 8 , 8

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Answer 2

Answer:

Step-by-step explanation: