Question

(1) txth (h) m(+2) - 1 an the squation for the family of lines with the following characteriring property parallel to 10 havas interepto (e) hann um or intercepts 10 Car passing through (3,-2) 1) having intercept (b) perpendicular to 3x + 2y = 7 (d) having inclination 60" (1) passing through the origin (h) having slopes 0) x-intercept twice y-intercept

Answer 1

The general equation of the line is,

$\frac{x}{a}+\frac{y}{b}=1$

Here, a is x intercept and b is y intercept.

The sum of the intercept is 10, means that

$\begin{gathered} a+b=10 \\ b=10-a \end{gathered}$

So equation of the line is,

$\frac{x}{a}+\frac{y}{10-a}=1$

Answer is,

$\frac{x}{a}+\frac{y}{10-a}=1$