Question
What is the probability that a number selected from
1,2,3.......................68,69,70, is perfect square or a perfect cube?Solution
Favourable outcomes = 1, 4, 8, 9, 16, 25, 27, 36, 49, 64 No. of favourable outcomes = 10 No. of total outcomes = 70 ∴ Required probability = 10/70 = 1/7
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 37x² - 172x + 135 = 0
Equation 2: 29y² - 132y + ...
If the roots of the quadratic equation 5x² + 4x + 6 = 0 are α and β, then what is the value of [(1/α) + (1/β)]?
...I. 20x² - 93x + 108 = 0
II.72y² - 47y - 144 = 0
I. 27x6 - 152x3 + 125 = 0
II. 216y6 - 91y3 + 8 = 0
I. x2 + 11x + 30 = 0
II. y2 + 17y + 72 = 0
I. 3x² - 22 x + 40 = 0 Â
II. 4y² + 22y + 24 = 0  Â
l. p2Â - 3p - 54 = 0
II. q2Â - 19q + 90 = 0
i) p2+p=56 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â
II) q2-17q+72=0
...I. 35 y² + 58 y + 24 = 0
II. 21 x² + 37 x + 12 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 103x² - 470x + 367 = 0
Equation 2: 107y² - 504y + 397 = 0
