R S Aggarwal Solutions for Exercise 5: EXERCISE 1E

Find the equation of line that cuts off equal intercepts on the coordinate axes and passes through point $\left(4,7\right)$.

Find the equation of line which passes through the point $\left(3,-5\right)$ and cuts off intercepts on the axes which are equal in magnitude but opposite in sign. 

Find the equation of the line passing through the point $\left(2,2\right)$ and cutting off intercepts on the axes, whose sum is $9$.

Find the equation of line which passes through the point $(22,-6)$ and whose intercept on the $x-$axis exceeds the intercept on the $y-$axis by $5$.

Find the equation of line whose portion intercepted between the axes is bisected at the point $(3,-2)$.

Find the equation of the line whose portion intercepted between the coordinate axes is divided at the point $\left(5,6\right)$ in the ratio $3:1$.

A straight line passes through the point $(-5,2)$ and the portion of the line intercepted between the axes is divided at this point in the ratio $2:3$. Find the equation of the line.

If the straight line $\frac{x}{a}+\frac{y}{b}=1$ passes through the points $(8,-9)\text{ and }(12,-15)$, find the values of $a$ and $b$.