Question

3.1f a given equation alx-b1y+c1=0anda2x+b2y+c2-0 sowhich of thefollowing is
true ifparallel lines are found by a graph?
(A) a/art61/62
(B)a1/82-b1/b2-01/02
(C)a1/a2-b1/62-c1/02
(D)none of this​

Answer 1

Given:- If a given equation , a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 . So which of the following is true if parallel lines are found by a graph?

To Find:- Correct option among these

(A) a1/a2 = b1/b2 = c1/c2.

(B)a1/a2 = b1/b2 ≠ c1/c2 .

(C)a1/a2 ≠ b1/b2 .

(D)none of this .

Answer :-

We know that is lines are parallel then , there is no solution for the two lines . So , for the lines to have no solution Condition is a1/a2 = b1/b2 ≠ c1/c2 .

Hence the correct option is (B) .

★ More to Know:-

1) Condition for lines to be intesecting ,

• a1 / a2 ≠ b1 / b2

2) Condition for lines to be coincident ,

• a1 / a2 = b1 / b2 = c1 / c2