let length = l , breadth = b l = 3x , b = 2x perimeter of the rectangular park = distance covered by the man in one round = 12 × (5/18) × 8 × 60 ( ∵ 1min = 60secs and converting 12km/hr to m/s by multiplying it by 5/18) = 1600 m 2(3x+2x) = 1600 5x= 800 x = 160 l = 3x = 160 × 3 = 480 b = 2x = 160 × 2 = 320 area of the rectangle = l × b = 480 × 320 153600 m2
I. 22x² - 97x + 105 = 0
II. 35y² - 61y + 24 = 0
I. 2x² - 12x + 16 = 0
II. 4y² - 8y - 12 = 0
'r' is one of the roots of equation (r - 1)p2 - (5r + 2)p + 12 = 0 and sum of roots is (32/5), Determine the two roots of the equation.
I. 6p² + 17p + 12 = 0
II. 12q² - 25q + 7 = 0
I. 8x² - 78x + 169 = 0
II. 20y² - 117y + 169 = 0
I. 5x² - 24 x + 28 = 0
II. 4y² - 8 y - 12= 0
I. 40x² + 81x + 35 = 0
II. 63y² + 103y + 42 = 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. 3x2 - 14x + 15 = 0
II. 15y2- 34 y + 15 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 42x + 392 = 0
Equation 2: y² - 46y + 480 = 0
