Solve the given equations and answer the following questions.
I.x² + (P + Q)x + 100 = 0
II. 2y² - 2Py + 134 = (y² -6)
III. 3z² - 3Qz + 120 = (2z² + 12)
Note:
i) Ratio between P and Q is 3: 2.
ii) Smaller roots in equation II and higher roots in equation III are R and S respectively.
iii) One of the roots of equation I is -10
Find which of the following is true?
1
(P + 2Q) = 24
2
(R + 2P + S) = 32
3
(P + 2S + R) = 48
4
(P + 3R + 2Q) = 58
5
None of these