Question : Sum of the factors of $4b^2c^2-(b^2+c^2-a^2)^2$ is:

Option 1: $a+b+c$

Option 2: $2(a+b+c)$

Option 3: $0$

Option 4: $1$

Question : What is the ratio of the mean proportional between 1.6 and 3.6 and the third proportional of 5 and 8?

Option 1: 2 : 15

Option 2: 5 : 16

Option 3: 3 : 16

Option 4: 4 : 15

Question : If $\frac{a}{1-2a}+\frac{b}{1-2b}+\frac{c}{1-2c}=\frac{1}{2}$, then the value of $\frac{1}{1-2a}+\frac{1}{1-2b}+\frac{1}{1-2c}$ is:

Option 1: 1

Option 2: 2

Option 3: 3

Option 4: 4

Question : If $\tan A-\tan B-\tan C=\tan A \tan B \tan C$, what is the value of A in terms of B and C?

Option 1: $A = B + C$

Option 2: $A = 2 B - 2C$

Option 3: $A = B - C$

Option 4: $A=\frac{B-C}{2}$

Question : If $x+\frac{1}{x}=c+\frac{1}{c}$, then the value of $x$ is:

Option 1: $c,\frac{1}{c}$

Option 2: $c,c^{2}$

Option 3: $c,2c$

Option 4: $0, 1$