Mathematics · Calculus
Consider the quadratic equation ax2 + bx + c = 0, where 2a + 3b + 6c = 0. Let g(x) = ax33 + bx22 + cx. Statement-I: The given quadratic equation ax2 + bx + c = 0 has at least one root in (0, 1). Statement-II: Rolle's theorem is applicable to g(x) on [0, 1]. Which of the following options is correct?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1Statement-I is true, Statement-II is true, and Statement-II is a correct explanation of Statement-I✓
- 2Statement-I is true, Statement-II is true, but Statement-II is not a correct explanation of Statement-I
- 3Statement-I is true, Statement-II is false
- 4Statement-I is false, Statement-II is true
Correct answer
Statement-I is true, Statement-II is true, and Statement-II is a correct explanation of Statement-I
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