Multiple choice

Consider the quadratic equation $(1+m)x^2-2(1+3m)x+(1+8m)=0$, (where $m \in R-\left {-1\right })$, t hen the number of integral values of $'m'$ such that given quadratic equation has imaginary roots are,

  1. $0$
  2. $1$
  3. $2$
  4. $3$
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C Correct answer
Explanation

The discriminant simplifies to 4m(m - 3). Imaginary roots require this discriminant to be negative, so 0 < m < 3, giving the two integral values m = 1 and m = 2.

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