Subject
Quantitative Aptitude
Topic
Algebra
In the following question, one or two equation(s) is/are given. You have to solve both the equations and find the relation between ‘x’ and ‘y’ and mark correct answer.
I. 12x2+ 11x + 12 = 10x2+ 22x
II. 13y2– 18y + 3 = 9y2– 10y
In the following question, one or two equation(s) is/are given. You have to solve both the equations and find the relation between ‘x’ and ‘y’ and mark correct answer. I. 12x2+ 11x + 12 = 10x2+ 22x II. 13y2– 18y + 3 = 9y2– 10y
ক)
x > yখ)
x ≥ yগ)
x< yঘ)
x ≤ yঙ)
x = y or the relation cannot be determinedExplanation
We will solve both the equations separately. Equation I: 12x 2 + 11x + 12 = 10x 2 + 22x ⇒ 2x 2 – 11x + 12 = 0 ⇒ 2x 2 – 8x – 3x + 12 = 0 ⇒ (x – 4) (2x – 3) = 0 ⇒ x = 4 or x = 3/2 Equation II: 13y 2 – 18y + 3 = 9y 2 – 10y ⇒ 4y 2 – 8y + 3 = 0 ⇒ 4y 2 – 6y – 2y + 3 = 0 ⇒ (2y – 3) (2y – 1) = 0 ⇒ y = 3/2 or y = 1/2 Comparing the values of x and y we get, x ≥ yRelated questions
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