Question

write the condition when the line are parallel

Answer 1

i ) If the slopes of two lines

are equal then the lines

are parallel .

ii ) If a1x + b1y + c1 = 0,

and a2x + b2y + c2 = 0

are two system of

linear equations ,

( a1 ≠ 0 , a2 ≠ 0 )

if a1/a2 = b1/b2 then

these lines are parallel .

•••••

Answer 2

HOLA MATE HERE IS U R ANSWER ♥♥♥♥♥



CONDITION FOR PARALLEL LINES

About"Condition for parallel lines"

Condition for parallel lines :

(i)  Condition for the lines to be parallel in terms of their slopes.

Let m₁ and m₂ be the slopes of two lines.

If, the two lines are parallel, then their slopes will be equal.

That is, 

m₁  =  m₂ 

(ii)  Condition for the lines to be parallel in terms of their general form of equations.

Let us consider the general form of equation of a straight line ax + by + c  =  0.  

If the two lines are parallel, then their general form of equations will differ only in the constant term and they will have the same coefficients of "x" and "y". 

That is, 

ax + by + c₁  =  0

ax + by + c₂  =  0 

(iii)  Condition for the lines to be parallel in terms of their slope-intercept form of equations.

Let us consider the slope intercept form of equation of a straight line  y  =  mx + b.  

If the two lines are parallel, then their slope-intercept form equations will will differ only in the "y"- intercept. 

That is, 

y = mx + b₁

 y = mx + b₂ 

(iv)  Condition for the lines to be parallel in terms of angle of inclination.

Let l₁ and l₂ be two lines.

If the two lines are parallel, the angle between them and the positive side of x-axis will be equal. 
________________

HOPR IT HELPS U ♥♥♥