Question
Which of the following pairs of numbers are
co-primes?Solution
ATQ,
Two numbers are said to be co-primes if their greatest common divisor (GCD) is 1. Let's check each pair: 34 and 35: The factors of 34 are: 1, 2, 17, 34. The factors of 35 are: 1, 5, 7, 35. The GCD is 1. Therefore, 34 and 35 are co-primes. 12 and 18: The factors of 12 are: 1, 2, 3, 4, 6, 12. The factors of 18 are: 1, 2, 3, 6, 9, 18. The GCD is 6. Therefore, 12 and 18 are not co-primes. 7 and 14: The factors of 7 are: 1, 7. The factors of 14 are: 1, 2, 7, 14. The GCD is 7. Therefore, 7 and 14 are not co-primes. 17 and 170: The factors of 17 are: 1, 17. The factors of 170 are: 1, 2, 5, 10, 17, 34, 85, 170. The GCD is 17. Therefore, 17 and 170 are not co-primes.
I. x2 - 11x + 24 = 0
II. y² - 5y + 6 = 0
I. 25p + 2(2p2 – 1) = 8(p + 5)
II. 8q2 + 35q – 78 = 0
I. 3q² -29q +18 = 0
II. 9p² - 4 = 0
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. 20x² - 93x + 108 = 0
II.72y² - 47y - 144 = 0
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...
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. 15b2 + 26b + 8 = 0
II. 20a2 + 7a - 6 = 0
I. x2 – 10x + 21 = 0
II. y2 + 11y + 28 = 0
I). p2 + 22p + 72 = 0,
II). q2 - 24q + 128 = 0
Relevant for Exams:
