Q.

How many linear equations in x and y can be satisfied by x=1 and y=2?


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a

infinite

b

2

c

10

d

4 

answer is A.

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Detailed Solution

Given point x,y = 1,2  .
Standard form of linear equation is ax+by+c=0  .
Substitute x,y = 1,2  in the standard equation.
a+2b+c=0..... i  
The values of a, b and c are real numbers. The different values for a, b and c will satisfies the equation i  .
So, there are infinitely many linear equations in which x and y can be satisfied by x=1 and y=2.
Therefore, there are infinitely many linear equations.
 Hence, the correct option is 1.
 
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How many linear equations in x and y can be satisfied by x=1 and y=2?