R.K. Singh Solutions for Chapter: Algebra, Exercise 2: Previous Years Questions

If $\frac{\mathrm{p}}{(\mathrm{b}-\mathrm{c})(\mathrm{b}+\mathrm{c}-2\mathrm{a})}=\frac{\mathrm{q}}{(\mathrm{c}-\mathrm{a})(\mathrm{c}+\mathrm{a}-2\mathrm{b})}=\frac{\mathrm{r}}{(\mathrm{a}-\mathrm{b})(\mathrm{a}+\mathrm{b}-2\mathrm{c})}$ then the value of $(\mathrm{p}+\mathrm{q}+\mathrm{r})$ is:

Simplify the following term $\frac{2{\mathrm{x}}^4-162}{\left({\mathrm{x}}^2+9\right)(2\mathrm{x}-6)}$.

If $\left({\mathrm{x}}^4+\frac{1}{{\mathrm{x}}^4}\right)=727$ then the value of $\left({\mathrm{x}}^3-\frac{1}{{\mathrm{x}}^3}\right)$ is:

If equation $\mathrm{kx}-\mathrm{y}=-1$ and $6\mathrm{x}-2\mathrm{y}=2$ have no solution then the value of $\mathrm{k}$ is:

If $\frac{\mathrm{x}}{(\mathrm{b}-\mathrm{c})(\mathrm{b}+\mathrm{c}-2\mathrm{a})}=\frac{\mathrm{y}}{(\mathrm{c}-\mathrm{a})(\mathrm{c}+\mathrm{a}-2\mathrm{b})}=\frac{\mathrm{z}}{(\mathrm{a}-\mathrm{b})(\mathrm{a}+\mathrm{b}-2\mathrm{c})}$ then the value of $\mathrm{x}+\mathrm{y}+\mathrm{z}$ is:

If $3^{2\mathrm{x}-\mathrm{y}}=3^{\mathrm{x}+\mathrm{y}}=\sqrt{27}$ then the value of $\mathrm{y}$ is:

If $\mathrm{a}+\frac{1}{\mathrm{a}}=6$  then  ${\mathrm{a}}^4+\frac{1}{{\mathrm{a}}^4}=?$

For the given equations $\frac{2\mathrm{x}}{3}+\frac{\mathrm{y}}{2}=4$ and $\frac{\mathrm{x}}{3}-\frac{\mathrm{y}}{2}=1$ the value of $\mathrm{x}$ is: