Subject
Quantitative Aptitude
Topic
Algebra
In the following question, one or two equation(s) is/are given. On their basis you have to determine the relation between x and y and then give answer
I. 2x2+ 5x + 2 = 0
II. 4y2= 1
In the following question, one or two equation(s) is/are given. On their basis you have to determine the relation between x and y and then give answer I. 2x2+ 5x + 2 = 0 II. 4y2= 1
ক)
x < yখ)
x > yগ)
x ≤ yঘ)
x ≥ yঙ)
x = yExplanation
We will separately solve both equations. Equation 1: 2x 2 + 5x + 2 = 0 ⇒ 2x 2 + 4x + x + 2 = 0 ⇒ 2x (x + 2) + 1 (x + 2) = 0 ⇒ (x + 2) × (2x + 1) = 0 ⇒ x = -2 or, x = -½ Equation 2: 4y 2 = 1 ⇒ 4y 2 – 1 = 0 ⇒ (2y) 2 – 1 =0 ⇒ (2y – 1) × (2y + 1) = 0 ⇒ y = ½ or, y = -½ x & y both have one common value. That is -½. So we can say x = y Another value of y (y = ½) is greater than another value of x (x = -2) So we can say y > x Combining both y ≥ xRelated questions
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