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How many linear equations in x and y can...

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

A

Only one

B

Two

C

Infinitely many

D

Three

Text Solution

Verified by Experts

Let the linear equation be ax+by+c=0.
On putting x=1 and y=2, in above equation we get
`implies " " a+2b+c=0`, where a, b and c, are real number
Here, different values of a,b and c satisfy a +2b+c=0. Hence, infinitely many linear equations in x and y can be satisfied by x=1 and y=2.
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