What significant event did India's Chandrayaan3 mission

What are the coordinates of the point which divides the line joining (-1, 7) and (4, 3) in the ratio 2:3?

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

Equation 1: x² - 24x + 143 = 0

Equation 2: y² - 26y + 165 = 0

I: x² - 10x + 21 = 0  

II: 4y² - 16y + 15 = 0

I. 6x² + 77x + 121 = 0

II. y² + 9y - 22 = 0

I. 15y² + 26y + 8 = 0

II. 20x² + 7x – 6 = 0

I. 2y² - 35y + 132 = 0

II. 2x² - 31x + 110 = 0

I. x² - x - 56 = 0

II. y² - 20y + 96 = 0

I.  2p² - 11p + 12 = 0

II. 2q² - 17q + 36 = 0

I. y² - 7 y – 18 = 0

II. x² + 10 x + 16 = 0

I. 27x² + 120x + 77 = 0

II. 56y² + 117y + 36 = 0