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

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

Answers (2)

Answer:

(C) Infinitely many

Solution:

Let the line’s equation be ax + by + c = 0

Now put x = 1 and y = 2 in above equation

a + 2 b + c = 0

Here only one equation is not possible because a, b and c are real numbers. Hence different values of a, b and c can satisfy the equation a + 2b + c = 0

For example,   (a = 1, b = –1, c = 1)

(a = 2, b = –2, c = 2) and many more.

Similarly two and three equations is not the correct answer.

Therefore infinitely many linear equations in x and y can be satisfied by x = 1 and y = 2.

Therefore option (C) is correct.

Posted by

infoexpert21

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Answer (C) is the correct answer to this question...

 

Posted by

KAJAL GOGNA

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