If `f(x)=x^2+2b c+2c^2a n dg(x)=-x^2-2c x+b^2` are such that min `f(x)> m a xf(x)` , ten he relation between `ba n dc` is a. no relation b. `0

If f(x)=x^(2)+2bx+2c^(2)and g(x)=-x^(2)-2cx+b^(2), such that minf(x)gtmaxg(x), then the relation between b and c, is

If (x)=x^(2)+2bx+2c^(2) and g(x)=-x^(2)-2cx+b^(2) such that min f(x)>max g(x), then the relation between a and c is (1) Non real value of b and c(2)0 |b|sqrt(2)

If f(x)=x^(2)+2bx+2c^(2)g(x)=-x^(2)-2cx+b^(2) and min f(x)>max g(x) then

If f(x)=A x^2+B x+C is such that f(a)=f(b) , then write the value of c in Rolles theorem.

If x^2/a +y^2/b=1 and x^2/c+y^2/d=1 are orthogonal then relation between a , b , c , d is

If the graph y=f(x) where f(x)=ax^(2)+bx+c ; b c in R , a!=0 has the maximum vertical height 4 then relation between a, b, c is

Statement-1: If a, b, c, A, B, C are real numbers such that a lt b lt c , then f(x) = (x-a)(x-b)(x-c) -A^(2)(x-a)-B^(2)(x-b)-C^(2)(x-c) has exactly one real root. Statement-2: If f(x) is a real polynomical and x_(1), x_(2) in R such that f(x_(1)) f(x_(2)) lt 0 , then f(x) has at least one real root between x_(1) and x_(2)