Consider a quadratic equation ax2+bx+c=0, where 2a+3b+6c=0 and let g(x)=a3x3+b2x2+cx. Statement 1: The quadratic equation has at least one root in the interval (0,1). Statement 2: The Rolle's theorem is applicable to function g(x) on the interval [0,1].
Held on 19 May 2012 · Verified 6 Jul 2026.
Statement 1 is false, Statement 2 is true.
Statement 1 is true, Statement 2 is false.
Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation for Statement 1.
Statement 1 is true, Statement 2 is true, , Statement 2 is a correct explanation for Statement 1.
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