Question : The numerical value of $\frac{(a–b)^{2}}{(b–c)(c–a)}+\frac{(b–c)^{2}}{(c–a)(a–b)}+\frac{(c–a)^{2}}{(a–b)(b–c)}$ is: $(a\neq b\neq c)$

Option 1: $0$

Option 2: $1$

Option 3: $\frac{1}{3}$

Option 4: $3$

Question : If $x=\frac{8ab}{a+b}(a\neq b),$ then the value of $\frac{x+4a}{x–4a}+\frac{x+4b}{x–4b}$ is:

Option 1: 0

Option 2: 1

Option 3: 2

Option 4: 4

Question : If $a+\frac{1}{b}=b+\frac{1}{c}=c+\frac{1}{a}(a\neq b\neq c)$, then the value of $abc$ is:

Option 1: $\pm 1$

Option 2: $\pm 2$

Option 3: $0$

Option 4: $\pm \frac{1}{2}$

Question : What is the value of m in the quadratic equation $x^{2}+mx+24=0$, if one of its roots is $\frac{3}{2}$.

Option 1: $–\frac{45}{2}$

Option 2: $16$

Option 3: $–\frac{21}{2}$

Option 4: $–\frac{35}{2}$

Question : If $a+b+c=0$, then the value of $\frac{a^2}{b c}+\frac{b^2}{c a}+\frac{c^2}{a b}$ is:

Option 1: 1

Option 2: 3

Option 3: - 1

Option 4: 0