Question

ASSERTION:- The graph of linear equations 3x+2y = 12, and 5x-2y = 4 gives a pair of intersecting lines. REASON:- The graph of linear equations a1x +b1y + c1= 0 and a2x + b2y +c2 = 0 gives a pair of Intersecting lines if a1/a2 is not equal to b1/b2. *​

Answer 1

Answer:

Assertion is true and reason is the correct explanation of assertion.

Answer 2

Given :  ASSERTION:- The graph of linear equations 3x+2y = 12, and 5x-2y = 4 gives a pair of intersecting lines.

REASON:- The graph of linear equations a₁x  +  b₁y + c₁  =  0 anda₂x  +  b₂y + c₂  =  0 gives a pair of Intersecting lines if  a₁/a₂ ≠ b₁/b₂

To Find : Comment on Assertion and Reason

Solution :

Pair of linear equations

a₁x  +  b₁y + c₁  =  0

a₂x  +  b₂y + c₂  =  0

Consistent

if a₁/a₂ ≠ b₁/b₂   (unique solution  and lines intersects each others)

  a₁/a₂ = b₁/b₂ = c₁/c₂   (infinite solutions and line coincide each other )

Inconsistent

if  a₁/a₂ = b₁/b₂ ≠  c₁/c₂  ( No solution , lines are parallel to each other)

REASON:- The graph of linear equations a₁x  +  b₁y + c₁  =  0 and a₂x  +  b₂y + c₂  =  0 gives a pair of Intersecting lines if  a₁/a₂ ≠ b₁/b₂ .

is TRUE

ASSERTION:- The graph of linear equations 3x+2y = 12, and 5x-2y = 4 gives a pair of intersecting lines.

3x+2y = 12

5x-2y = 4

3/5 ≠ 2/-2

Hence (unique solution  and lines intersects each others

So, ASSERTION is TRUE

and Reason is the correct explanation of Assertion

Correct answer is : Both assertion and reason are correct and reason is the correct explanations for solution

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