Constant Function

Q.

If a + b + c = 0, a, b, c $ϵ$ Q, then the roots of the equation $(b+c-a)x^2+(c+a-b)x+(a+b-c)=0$ are :

1. Irrational

2. Rational

3. Imaginary

4. None

Q.

If $\alpha$ is a complex, such that $\alpha$$z^2$ + z +$\overline{\alpha }$ = 0 has a real root. Then

1. + = 1

2. + = -1

3. Both A and B

4. None of these

Q. Write the following as intervals :
(i) $\{x:xϵR,4<x\le 6\}$

Q. If f(x) be a continuous function (a function whose graph has no breaks) defined for $1\le x\le 3.f\left(x\right)ϵQ\forall xϵ[1,3]andf\left(2\right)=10$ (Where Q is a set of all rational numbers). Then, f(1.8) is

1. 1
2. 5
3. 10
4. 20

Q. If $f(x+y,x-y)=xy$, then $\frac{f(x,y)+f(y,x)}{2}$ is

1. $x$
2. $y$
3. $0$
4. $\frac{x+y}{2}$