Question

Which of the following is not a linear equation in two variables? A B C D (A) 4m  3n  12 (B) e2x  e5y  18 (C) 1 x   y  7 (D) 3x  4y  5  0​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

Which of the following is not a linear equation in two variables ?

(A) 4m + 3n = 12

(B) √2x - √5y = 18

(C) 1/x-y = 7

(D) 3x - 4y + 5 = 0

CONCEPT TO BE IMPLEMENTED

Linear Equation

A linear equation is an algebraic equation consisting of variables and constants and equality sign in which each term has an exponent of one

REASON BEHIND THE NAME

If you plot the solutions of a linear equation in Cartesian Coordinate system the results in a straight line

EVALUATION

CHECKING FOR OPTION : A

Here the given equation is 4m + 3n = 12

Since the algebraic equation consisting of variables and constants and equality sign in which each term has an exponent of one

So the equation is linear equation

CHECKING FOR OPTION : B

Here the given equation is √2x - √5y = 18

Since the algebraic equation consisting of variables and constants and equality sign in which each term has an exponent of one

So the equation is linear equation

CHECKING FOR OPTION : C

Here the given equation is 1/x-y = 7

Which can be rewritten as

$\sf{ {x}^{ - 1} - y = 7 }$

Since the algebraic equation consisting of variables and constants and equality sign in which one of the term has an exponent of one

So the equation is not a linear equation

CHECKING FOR OPTION : D

Here the given equation is 3x - 4y + 5 = 0

Since the algebraic equation consisting of variables and constants and equality sign in which each term has an exponent of one

So the equation is linear equation

FINAL ANSWER

Hence the correct option is (C) 1/x-y = 7

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Answer 2

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