If `x in R and bltc`, then `(x^2-bc)/(2x-b-c)` has no values

IF x is real , then ( x^2 - bc ) /( 2x -b-c) has _____ values between b and c

If x be real and 0

If a,b,c in R and the quadratic equation x^(2)+(a+b)x+c=0 has no real roots then

If Deltan=|{:(a^(2)+n,ab,ac),(ab,b^(2)+n,bc),(ac,bc,c^(2)+n):}|,n in N and the equation x^(3)-lambdax^(2)+11x-6=0 has roots a,b,c and a,b,c are in AP. The value of (Delta2_(n))/(Delta_(n)) is

The function f(x)=x^(2), x in R has no maximum value.

if lim_(x rarr0)(1+a cos2x+b cos4x)/(x^(4)) exists for all x in R and has the value equal to c. Find the value of 3(a+b+c)