The number of integral values of m for which the quadratic expression. (1 + 2m)x2 − 2(1 + 3m)x + 4(1 + m), x 
R, is always positive, is
R, is always positive, isQuestion ID - 57366 | SaraNextGen Top Answer The number of integral values of m for which the quadratic expression. (1 + 2m)x2 − 2(1 + 3m)x + 4(1 + m), x R, is always positive, is
The number of integral values of m for which the quadratic expression. (1 + 2m)x2 − 2(1 + 3m)x + 4(1 + m), x R, is always positive, is
1 Answer
127 votes
Answer Key / Explanation : (b) -
Expression is always positive it
2m + 1 > 0
⇒ m > − 
D<0 ⇒ m2 − 6m −3 < 0
3 − 
<m < 3 +
…(i)
∴ Common interval is
3 − 
<m < 3+
∴ integral value of m {0, 1, 2, 3, 4, 5, 6}
127 votes
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127