Multiple choice

Passage

q1_15_1549094368_hindi.html

Directions: In the following question, two equations (I) and (II) are given. You have to solve both the equations and give answer according to the following codes: I. 3x2 + 7x - 6 = 0 II. y(y + 6) = -9

  1. if x > y

  2. if x < y

  3. if x ≤ y

  4. if x ≥ y

  5. if x = y or relation cannot be established between x and y
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Solving (I) 3x^2 + 7x - 6 = 0 gives (3x-2)(x+3)=0, so x = 2/3 or -3. Solving (II) y^2 + 6y + 9 = 0 gives (y+3)^2 = 0, so y = -3. Comparing the roots, x is either 2/3 (which is > -3) or -3 (which is = -3). Thus, x >= y.

AI explanation

Factoring the first equation gives 3x^2 + 9x - 2x - 6 = 0, which means 3x(x + 3) - 2(x + 3) = 0, yielding x = -3 or x = 2/3. Factoring the second equation y^2 + 6y + 9 = 0 gives (y + 3)^2 = 0, so y = -3. Comparing the values, -3 is equal to -3 and 2/3 is greater than -3, establishing that x is greater than or equal to y.

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