Question

Statement-1: Number of integral values of $m$ for which exactly one root of the equation $x^2-2mx+m^2-1=0$ lies in the interval $(-2,4)$ equals 2 .
Statement-2: Let $f(x)=a{x}^2+bx+c$ where $a,b,c\in R$ and $a\ne 0$. If $f(d)f(e)<0$ then the equation $f(x)=0$ has exactly one root in $(d,e)$.

• A. Statement-1 is true, statement- 2 is true and statement-2 is correct explanation for statement-1.
• B. Statement-1 is true, statement-2 is true and statement- 2 is NOT the correct explanation for statement-1.
• C. Statement-1 is true, statement- 2 is false.
• D. Statement-1 is false, statement- 2 is true.

Answer 1

Answer: (D)