Multiple choice

In each of the following questions, two equations are given. You have to solve them and answer the question.( (I) 15x^{2} – 34x + 15 = 0 ) ( (II) 4y^{2} – 29y + 45 = 0 )

  1. If x > y

  2. If x ≥ y

  3. If x < y

  4. If x ≤ y

  5. If x = y or relationship cannot be established
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Factorizing equation (I): 15x² - 34x + 15 = (3x - 5)(5x - 3) = 0, so x = 5/3 or x = 3. Factorizing equation (II): 4y² - 29y + 45 = (y - 5)(4y - 9) = 0, so y = 5 or y = 9/4 = 2.25. Comparing values: when x = 5/3 (1.67), both y values (2.25, 5) are greater. When x = 3, both y values (2.25, 5) are greater. Therefore x < y is always true.

Keep practicing — related questions