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ATQ, Total books read by the students excluding librarian = 40 × 30 = 1200 Let the books read by the librarian be ‘b’. According to the question, (1200 + b) / (40 + 1) = 30 + 2 1200 + b = 41 × 32 1200 + b = 1312 b = 1312 – 1200 b = 112. So, the librarian read 112 books.
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 20x + 96 = 0
Equation 2: y² - 18y + 72 = 0
I. 3x2 - 14x + 15 = 0
II. 15y2- 34 y + 15 = 0
I. x² + 3x – 154 = 0
II. y² + 5y – 126 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 2x² - 8x + 6 = 0
Equation 2: y² - 7y + 10 = 0
I. 12 x ² - 3 x – 15 = 0
II. 2 y² + ...
I.8(x+3) + 8(-x) =72
II. 5(y + 5) + 5(-y) = 150
What are the coordinates of the point which divides the line joining (-1, 7) and (4, 3) in the ratio 2:3?
I. 2x2 + 3x - 9 = 0
II. 3y2 - y - 10 = 0
Equation 1: x² + 16x + 63 = 0
Equation 2: y² + 10y + 21 = 0
I. 2x2 + 12x + 18 = 0
II. 3y2 + 13y + 12 = 0