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Question

if m>0, n>0 and p>0, then both the roots of the equation mx2+nx+p=0 are

A
real and negative
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B
have –ve real parts
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C
rational numbers
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D
cannot be determined
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E
none of these
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Solution

The correct option is B have –ve real parts

option (b)

x=(-b±√D)/2a

D=n2-4mp<n2 (as m>0 and p>0), the roots of this equation will be –ve. If D<0, then the roots will have negative real parts


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