If the quadratic polynomial `f(x)=(a–3)x^2-2ax +3a - 7` ranges from `(-1,oo )` for every `x in R,` then the value of a lies in

If the quadratic polynomial f(x)=(a3)x^(2)-2ax+3a-7 ranges from (-1,oo) for every x in R, then the value of a lies in

If the quadratic polynomial P (x)=(p-3)x ^(2) -2px+3p-6 ranges from [0,oo) for every x in R, then the value of p can be:

If the quadratic polynomial P (x)=(p-3)x ^(2) -2px+3p-6 ranges from [0,oo) for every x in R, then the value of p can be:

Consider the quadratic polynomial f(x) =x^2/4-ax+a^2+a-2 then (i) If the origin lies between zero's of polynomial, then number of integral value(s) of 'a' is (ii) if a varies , then locus of the vertex is :

Consider the quadratic polynomial f(x) =x^2/4-ax+a^2+a-2 then (i) If the origin lies between zero's of polynomial, then number of integral value(s) of 'a' is (ii) if a varies , then locus of the vertex is :

If the product of zeros of the quadratic polynomial f(x)=x^2-4x+k is 3, find the value of k .

If the sum of the zeros of the quadratic polynomial f(x)=k x^2-3x+5 is 1, write the value of k .

If the sum of the zeros of the quadratic polynomial f(x)=kx^(2)-3x+5 is 1, write the value of k

If the product of zeros of the quadratic polynomial f(x)=x^(2)-4x+k is 3, find the value of k.

If f(x) = x^(3) + (a – 1) x^(2) + 2x + 1 is strictly monotonically increasing for every x in R then find the range of values of ‘a’