Find the equation of a straight line parallel to 2x+3y+ 11=0 and which

1.	Find the equation of a straight line parallel to 2x+3y+ 11=0 and which issuch that the sum of its intercepts on the axes is 15.
Answer» Let the eqn. of a straight line parallel is. 2x+3y=c…………..(1) Intercepted form of eqn.(1) is:- x/(c/2)+ y/(c/3) = 1 Intercepts on x-axis is. (c/2). and on y-axis is (c/3) units ,accordingly:- c/2+c/3=15 or. 5c/6=15 or. c= 15×6/5=18 On putting c=18 in eqn.(1) the required eqn. is:- 2x+3y=18. Answer

Find the equation of a straight line parallel to 2x+3y+ 11=0 and which issuch that the sum of its intercepts on the axes is 15.

Answer»

Let the eqn. of a straight line parallel is. 2x+3y=c…………..(1)

Intercepted form of eqn.(1) is:-

x/(c/2)+ y/(c/3) = 1

Intercepts on x-axis is. (c/2). and on y-axis is (c/3) units ,accordingly:-

c/2+c/3=15

or. 5c/6=15

or. c= 15×6/5=18

On putting c=18 in eqn.(1) the required eqn. is:-

2x+3y=18. Answer