Quadratic Equation : CAT 2016 Quant/Math Questions Answers
Question 4 the day : February 12, 2003
The question for the day is from the topic Quadratic Equations in Algebra.
Question
For what values of 'm' is y = 0, if y = x ^{2} + (2m + 1)x + m ^{2}  1? x is a real number.
(1) m 2
(2) m < 0
(3) m = 0
(4) m 1.25
Correct Answer is m 1.25 . Correct Choice is (4)
Explanatory Answer
When x is real, then the discriminant of a quadratic
equation (ax ^{2} + bx + c = 0) 0.
i.e. D = b ^{2}  4ac 0
In this case,
(2m + 1) ^{2} 4(m ^{2}  1)
4m ^{2} + 4m + 1 4(m ^{2}  1)
Solving for m, we get m  1.25
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