Question

9.
Find the equation of straight lines passing through (-2,- 7) and having an intercept of length 3
units between the straight lines 4x + 3y = 12, 4x + 3y = 3.
please solve it step by step​

Answer 1

Answer:

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Step-by-step explanation:

first distance between parallel lines is

(

a

2

+b

2

)

c1−c2

=

5

9

now consider triangle ABC

BC=

(

3

2

−(

5

9

)

2

)

=

5

12

now tanθ=

BC

AC

=

4

3

now angle between 2 lines is tanθ=

1+m1m2

m1−m2

4

3

=

1−

3

4m

m1+

3

4

m=

24

−7

so slope m=

24

−7

and passing through point (-2,-7)

equation is (y+7)=−(x+2)

24

7

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therefore equation is 7x+24y+182=0