[" Q20): "],[" If "x+(1)/(x)=2" then "x^(2)+(1)/(x^(2))=]

If 20^(-x) = (1)/(7) , then (20)^(2x) =

The value int^(2)_(-2) {p" In"((1+x)/(1-x))+q" In "((1-x)/(1+x))-2+r}dx depends on the value of

The value int^(2)_(-2) {p" In"((1+x)/(1-x))+q" In "((1-x)/(1+x))-2+r}dx depends on the value of

If P (x) = (x^(3) + 1) (x-1) and Q (x) = (x^(2) -x +1) (x^(2) -3x +2) , then find HCF of P (x) and Q (x) .

If x+sqrt(x^(2)-1)+(1)/(x+sqrt(x^(2)+1))=20 then x^(2)+sqrt(x^(4)-1)+(1)/(x^(2)+sqrt(x^(4)-1))=

Consider the statements : P : There exists some x IR such that f(x) + 2x = 2(1+x2) Q : There exists some x IR such that 2f(x) +1 = 2x(1+x) f(x)=(1-x)^(2) sin^(2) x+x^(2)" "AA x in R Then (A) both P and Q are true (B) P is true and Q is false (C) P is false and Q is true (D) both P and Q are false.