Assertion (A): If a_1,a_2,......a_n are the n distinct roots of the equation x^n-2=0 then 1+(1-a_1)(1-a_2)....(1-a_{n-1})(1-a_n)=0 Reason (R): If \alpha_1,\alpha_2,.......\alpha_n are the n roots of f(x)\equivp_0x^n+p_1x^{n-1}+p_2x^{n-2}+.....+p_n=0, then the roots of f(g(x))=0 are g^{-1}(\alpha_i),i=1,2,3,........n The correct option among the following is

Correct Answer is : (A) is true, (R) is true and (R) is the correct explanation for (A)

(A) is true, (R) is true and (R) is the correct explanation for (A)

(A) is true, (R) is true but (R) is not the correct explanation for (A)

TS EAMCET 14-Sep-2020 Shift 1 Solved Paper

Section: Mathematics

Question : 14 of 160

Marks: +1, -0

Assertion (A): If a1,a2,......an are the n distinct roots of the equation xn−2=0 then 1+(1−a1)(1−a2)....(1−an−1)(1−an)=0
Reason (R): If α1,α2,.......αn are the n roots of
f(x)≡p0xn+p1xn−1+p2xn−2+.....+pn=0, then the roots of
f(g(x))=0 are g−1(αi),i=1,2,3,........n
The correct option among the following is

(A) is true, (R) is true and (R) is the correct explanation for (A)
(A) is true, (R) is true but (R) is not the correct explanation for (A)
(A) is true but (R) is false
(A) is false but (R) is true

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