Read the following quadric equation carefully and answer the questions given below. Equation 1: ax² + bx + c = 0 Equation 2: dy² + ey + c = 0 Note: (i...

Question

Read the following quadric equation carefully and answer the questions given below. Equation 1: ax² + bx + c = 0 Equation 2: dy² + ey + c = 0 Note: (i) c is a single digit prime number greater than 2 (ii) d and b are two digits prime number less than 20 (iii) d is greater than 11 (iv) b is greater than d (v) Smallest roots of both the equation are same (vi) No root is irrational (vii) e = b + 1 (viii) 3c is greater than b

Find the value of aa.

Options

A.

$13$

B.

$14$

C.

$12$

D.

$10$

E.

$15$

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