Question
A bag contains 6 yellow balls, 8 purple balls, and 4 black
balls. Two balls are drawn at random. Find the probability that the two balls are purple.Solution
Number of ways of selecting two purple balls = 8 Câ‚‚
Total number of balls = 6 + 8 + 4 = 18
Number of ways of selecting two balls = 18 Câ‚‚
Probability = 8 C₂ ÷ 18 C₂ = (8 × 7) ÷ (18 × 17) = 56 ÷ 306 = 28/153
I. 12x2 - 55x + 63 = 0
II. 10y2 - 47y + 55 = 0
I. 12a2 – 55a + 63 = 0
II. 8b2 - 50 b + 77 = 0
...I. 6p² + 17p + 12 = 0
II. 12q² - 25q + 7 = 0
If ‘y1’ and ‘y2’ are the roots of quadratic equation 5y2 – 25y + 15 = 0, then find the quadratic equation whose roots are ‘3y1�...
In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between 'p' and 'q' and choose...
In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between 'p' and 'q' and choose...
I. x2 – 39x + 360 = 0
II. y2 – 36y + 315 = 0
I. 5x² - 24 x + 28 = 0  Â
II. 4y² - 8 y - 12= 0  Â
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 41x + 400 = 0
Equation 2: y² - 41y + 420 = 0
I. 2x2 - 15x + 25 = 0
II. 3y2 - 10y + 8 = 0