Given the quadratic equations: I. 2 x 2 − 11 x + p = 0 2x^2 - 11x + p = 0 2 x 2 − 11 x + p = 0 II. 2 y 2 − 15 y + q = 0 2y^2 - 15y + q = 0 2 y 2 − 15 ...

Question

Given the quadratic equations:

I.

2x211x+p=02x^2 - 11x + p = 0

II.

2y215y+q=02y^2 - 15y + q = 0

Note:

(i) One root of equation (I) is 2.

(ii) One root of equation (II) is three times the smaller root of equation (I).

Find the product of

pp
and
qq
.

Options

A.

$242$

B.

$262$

C.

$252$

D.

$212$

E.

$272$

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