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If p:q:r=1:2:3;then {5{p^2} + {q^2} + {r^2}} is equal to:

Question

If $p : q : r = 1 : 2 : 3 t h e n$ $5 p^{2} + q^{2} + r^{2}$ is equal to:

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Samuel Discussed

p : q : r = 1 : 2 : 3 t h e n

5 p^{2} + q^{2} + r^{2}

is equal to:

11 mins ago

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11 mins ago

Text solutionVerified

Consider the problem

Given,

p : q : r = 1 : 2 : 3

Therefore,

\frac{p}{1} = \frac{q}{2} = \frac{r}{4} = k

(let)

So,

p = k, q = 2 k, r = 4 k

Therefore,

5 p^{2} + q^{2} + r^{2} = 5 k^{2} + 4 k^{2} + 16 k^{2} = 25 k^{2} 5 k = 5 p

Hence, Option

B

is the correct answer which is

5 p

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