Question

nes RISHRAM CLASSES
5. A pair of linear equation in two variables which has a common point i.e.,
which has only one solution is called a
(a) Consistent pair
(b) Inconsistent pair
(C) Dependent pair
(d) None of these
6. In the equation a1x + bly + c1 = 0 and a2x + b2y + c2 = 0, if then the
equation 9.9 will represents
(a) coincident lines
(C) intersecting lines
(d) None of these
M
a. b​

Answer 1

Answer:

Q 5. answer:- (1) Consistent pair

A pair of linear equation in two variables which has a common point i.e., which has only one solution is called a consistent pair.

Explanation:

We known that :

A system of linear equation is said to be consistent when it has solution.

In other words, a pair of linear equation in two variables is said to be consistent when

it has only one solution

it has infinitely many solutions.

Therefore , a pair of linear equation in two variables which has a common point i.e., which has only one solution is called a consistent pair.

Q 6. answer :- Given : pair of linear equation a1x +b1y +c1=0 and a2x +b2y +C2=0 . a1/a2 ≠  b1/b2

To find : what will be the pair of linear equation

Solution:

a1x +b1y +c1=0

a2x +b2y +C2=0

a1/a2 ≠  b1/b2

then System is called consistent and have a unique Solution

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