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.


(A) Both assertion and reason are correct and reason is the correct explanations for solution

(B) Both assertion and reason are correct, but reason is not the correct explanation for assertion

(C) Assertion is correct, but reason is incorrect.

(D) assertion is incorrect but reason is correct.​

Answer 1

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 option is : (A) Both assertion and reason are correct and reason is the correct explanations for solution

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Answer 2

By mistakely I had written their inconsistent please correct it and write there consistent.