___________ became India's 21st Woman Grand Master (WGM)

In each of these questions, two equations (I) and (II) are given.You have to solve both the equations and give answer   

I. 6x² - 23x + 7 = 0

II. 6y² - 29y + 9 = 0

I. 5x² = 19x – 12

II. 5y² + 11y = 12

I. 2p² - 3p – 2 = 0 II. 2q² - 11q + 15 = 0

I:  x² - 33x + 242 = 0

II:  y² - 4y - 77 = 0

Solve the quadratic equations and determine the relation between x and y:

Equation 1: x² - 36x + 288 = 0

Equation 2: y² - 36y + 320 = 0

I. 5x² – 18x + 16 = 0

II. 3y² – 35y - 52 = 0

Solve the quadratic equations and determine the relation between x and y:

Equation 1: x² - 24x + 143 = 0

Equation 2: y² - 20y + 96 = 0

I. 35x² - 46x – 16 = 0

II. 35y² - 116y + 96 = 0

I. x² – 3(x + 5) = -11

II. y² – 4(y + 2) = -2y