Multiple choice

In each of the following questions, two equations are given. You have to solve them and state the correct relationship- निम्नलिखित प्रश्नों में दो समीकरण (I) और (II) दिये गये है दोनों समीकरण हल कीजिए और सही सम्बन्ध स्थापित कीजिये- I. 3x2 + 17x = - 10 II. 10y2 + 9y + 2 = 0

  1. If x>y यदि x>y

  2. If x ≥ y यदि x≥y

  3. If x<y यदि x<y

  4. If x ≤ y यदि x≤y

  5. If x=y or relationship can not be determined यदि x=y या सम्बन्ध स्थापित नहीं किया जा सकता है।

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Solving equation I: 3x^2 + 17x = -10 gives 3x^2 + 17x + 10 = 0, so x = -2/3 or -5. Solving equation II: 10y^2 + 9y + 2 = 0 gives y = -1/2 or -2/5. For x = -2/3 and y = -1/2: -0.67 < -0.5, so x < y. For x = -5 and y = -2/5: -5 < -0.4, so x < y. In all cases x < y, meaning x ≤ y is correct.