Comprehension Passage
Directions: Read the following information carefully and answer the questions based on it.
Equation (i) : x2 - 7x + t = 0
Equation (ii) : y2 - 4y + (t - 9) = 0
Roots of equation (i) are 'p' and 'q' and the roots of equation (ii) 'p' and '(q - p)' respectively.
The α and β are the roots of the equation ax2 – 7x + 6 = 0 and the 1/α and 1/β are the roots of the equation 6x2 – 7x + 2 = 0.
What is the value of (a)2 + 2t?
1
25
2
30
3
32
4
28
5
Cannot be determined