Question

3. Given the linear equation 3x - 4y - 7 =0, write another linear equation in these two variables

such that the geometrical representation of the pair so formed is ( CBSE 2016 )

(i) intersecting lines

(ii) Parallel lines

please answer this question properly. ​

Answer 1

Answer:

1. 4x+3y-28=0

2. 4y = 3x+4c

Step-by-step explanation:

3x-4y-7=0

3x-7 = 4y

y= 3x/4 -7/4

y = m*x +c

m = slope of the line

m₁ =3/4

if 2 lines are parallel

then m₁ = m₂

and if lines are intersecting

then m₁*m₂ =-1

in case 1 the lines are intersecting then we will use 2nd case

m₁*m₂=-1

3/4*m₂ =-1

m₂ = -4/3

therefore using the formulae

the equation will be  (y intercept is -7)

y = -4/3 *x -7*-4/3

3y = -4x +28

4x+3y-28 = 0

2. when the lines are parallel then using first case

m₁ = m₂

m₂ = 3/4

y= 3/4*x +c

4y = 3x +4c

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Answer 2

Answer:

The equation is 4x - 3y -8 = 0 have a Intersecting solution

the second is 6x - 8y + 21 = 0

Step-by-step explanation:

The equation is 3x - 4y - 7 = 0

Refer the attachment

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