Let `f(x)=ax^(5)+bx^(4)+cx^(3)+dx^(2)+ ex`, where a,b,c,d,e in R and `f(x)=0` has a positive root. `alpha`. Then,

If f(x)=ax^(7)+bx^(5)+cx^(3)+dx+1010, where a,b,c,d in R and f(2020)=1 then the value of f(-2020) is

Let f(x)=ax^(2)+bx+c.g(x)=ax^(2)+qx+r where a,b,c,q,r in R and a<0. if alpha,beta are the roots of f(x)=0 and alpha+delta,beta+delta are the roots of g(x)=0, then

If f(x)=a+bx^(2)+cx^(4)+dx^(6), where a,b,c,d all are positive constants, then

Let f(x) = ax^(3) + bx^(2) + cx + d, a != 0 , where a, b, c, d in R . If f(x) is one-one and onto, then which of the following is correct ?

Let f(x) = ax^(3) + bx^(2) + cx + d, a != 0 , where a, b, c, d in R . If f(x) is one-one and onto, then which of the following is correct ?

Let f(x) = ax^(2) + bx + c, a, b, c, in R and equation f(x) - x = 0 has imaginary roots alpha, beta . If r, s be the roots of f(f(x)) - x = 0 , then |(2,alpha,delta),(beta,0,alpha),(gamma,beta,1)| is

Let f(x) = ax^(2) + bx + c, a, b, c, in R and equation f(x) - x = 0 has imaginary roots alpha, beta . If r, s be the roots of f(f(x)) - x = 0 , then |(2,alpha,delta),(beta,0,alpha),(gamma,beta,1)| is

Let f(x)=ax^(2)+bx+c , g(x)=ax^(2)+qx+r , where a , b , c , q , r in R and a lt 0 . If alpha , beta are the roots of f(x)=0 and alpha+delta , beta+delta are the roots of g(x)=0 , then