Question
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 the correct option. I. p2 - 11√2p + 60 = 0     II. q2 - 10√3q + 72 = 0Solution
ATQ, I. p2 - 11√2p + 60 = 0      Pairs = -5√2, -6√2 And now dividing by 1 and by changing the sign we get, p = 5√2, 6√2 p = 7, 8.4 (√2 = 1.4) II. q2 - 10√3q + 72 = 0 Pairs = -6√3, -4√3 And now dividing by 1 and by changing the sign we get, q = 6√3, 4√3 q = 10.2, 6.8 (√3 = 1.7) Hence, the relation between p and q cannot be established.
If the roots of the quadratic equation 7y² + 5y + 9 = 0 are α and β, then find the value of [(1/α) + (1/β)].
I. 27x² + 120x + 77 = 0
II. 56y² + 117y + 36 = 0
I. 8a2 – 22a+ 15 = 0
II. 12b2 - 47b + 40=0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 19x² - 92x + 73 = 0
Equation 2: 17y² - 76y + 59 = 0
What is the speed of the stream if a ship takes 15 hours to travel 240 km in calm waters, given that the ratio of its speed against the current to its s...
I. 5x2 – 7x – 6 =0
II. 2y2 – 5y – 7 =0
I. 35x² + 83x + 36 = 0
II. 42y² + 53y + 15 = 0
I. 84x² - 167x - 55 = 0
II. 247y² + 210y + 27 = 0
I: x2Â + 31x + 228 = 0
II: y2 + 3y – 108 = 0
I. x2 + 28x + 96 = 0
II. y2 + 3y - 70 = 0
