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Question

The equation (m being real), mx2+2x+m=0 has two distinct roots if -


A

m0

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B

m 0, 1

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C

m 1, – 1

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D

m 0, 1, –1

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Solution

The correct option is B

m 0, 1


Step 1:- For, mx2+2x+m=0, value of discriminant:
D=(2)24m2=44m2

Step 2:- The roots of quadratic equation are real and distinct only when D>0

Step 3:- 4(1m2)>0
(1m2)>0
m2<1

1<m<1


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