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Statement I If alpha(1),alpha(2), alpha(...

Statement I If `alpha_(1),alpha_(2), alpha_(3),…., alpha_(n)` are the n real roots of a polynomial equation of nth degree with real coefficients such that sum of the roots taken `r(1lerlen)` at a time is positive, then all the roots are positive.
Statement II The number of times sign of coefficients change while going left to right of a polynomial equation is the number of maximum positive roots.

A

Statement I is true, Statement II is also true, Statement II is the correct explanation of Statement I.

B

Statement I is true, Statement II is also true, Statement II is not the correct explanation of Statement I

C

Statement I is true, Statement II is false

D

Statement I is false, Statement II is true

Text Solution

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The correct Answer is:
A
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