Class 9 Exam > Class 9 Questions > Which of the following is not true?a)The coef...
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Which of the following is not true?
- a)The coefficients of x and y in a linear equation in x and y must be rational numbers.
- b)There’s only one set of values of x and y that satisfy a linear equation in x and y.
- c)A linear equation is an equation of first degree
- d)For a linear equation in x the coefficient of y is zero.
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Which of the following is not true?a)The coefficients of x and y in a ...
The coefficients of x and y in a linear equation in x and y must be rational numbers.
The condition is only about the power of the variables being one and both coefficients not being zero at the same time. So as long as the coefficients are real numbers, the equation can be a linear equation.
Most Upvoted Answer
Which of the following is not true?a)The coefficients of x and y in a ...
Explanation:
To determine which statement is not true, let's analyze each option:
a) The coefficients of x and y in a linear equation in x and y must be rational numbers.
- This statement is true. In a linear equation, the coefficients of x and y can be any rational number. For example, the equation 2x + 3y = 5 has rational coefficients.
b) There's only one set of values of x and y that satisfy a linear equation in x and y.
- This statement is not true. In general, a linear equation has infinitely many solutions unless it is a parallel line or coincident line. For example, the equation x + y = 4 has infinite solutions, such as (1, 3), (2, 2), (3, 1), etc.
c) A linear equation is an equation of first degree.
- This statement is true. A linear equation is an equation in which the highest power of the variable is 1. It can be written in the form ax + by + c = 0, where a, b, and c are constants.
d) For a linear equation in x, the coefficient of y is zero.
- This statement is not true. In a linear equation, the coefficient of y can be any real number as long as it is not zero. For example, the equation 3x + 2y = 7 has a coefficient of y as 2, which is not zero.
Therefore, the statement that is not true is option 'A': The coefficients of x and y in a linear equation in x and y must be rational numbers.
To determine which statement is not true, let's analyze each option:
a) The coefficients of x and y in a linear equation in x and y must be rational numbers.
- This statement is true. In a linear equation, the coefficients of x and y can be any rational number. For example, the equation 2x + 3y = 5 has rational coefficients.
b) There's only one set of values of x and y that satisfy a linear equation in x and y.
- This statement is not true. In general, a linear equation has infinitely many solutions unless it is a parallel line or coincident line. For example, the equation x + y = 4 has infinite solutions, such as (1, 3), (2, 2), (3, 1), etc.
c) A linear equation is an equation of first degree.
- This statement is true. A linear equation is an equation in which the highest power of the variable is 1. It can be written in the form ax + by + c = 0, where a, b, and c are constants.
d) For a linear equation in x, the coefficient of y is zero.
- This statement is not true. In a linear equation, the coefficient of y can be any real number as long as it is not zero. For example, the equation 3x + 2y = 7 has a coefficient of y as 2, which is not zero.
Therefore, the statement that is not true is option 'A': The coefficients of x and y in a linear equation in x and y must be rational numbers.
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Which of the following is not true?a)The coefficients of x and y in a ...
It is because X and Y can be irrational
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Which of the following is not true?a)The coefficients of x and y in a linear equation in x and y must be rational numbers.b)There’s only one set of values of x and y that satisfy a linear equation in x and y.c)A linear equation is an equation of first degreed)For a linear equation in x the coefficient of y is zero.Correct answer is option 'A'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Which of the following is not true?a)The coefficients of x and y in a linear equation in x and y must be rational numbers.b)There’s only one set of values of x and y that satisfy a linear equation in x and y.c)A linear equation is an equation of first degreed)For a linear equation in x the coefficient of y is zero.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following is not true?a)The coefficients of x and y in a linear equation in x and y must be rational numbers.b)There’s only one set of values of x and y that satisfy a linear equation in x and y.c)A linear equation is an equation of first degreed)For a linear equation in x the coefficient of y is zero.Correct answer is option 'A'. Can you explain this answer?.
Which of the following is not true?a)The coefficients of x and y in a linear equation in x and y must be rational numbers.b)There’s only one set of values of x and y that satisfy a linear equation in x and y.c)A linear equation is an equation of first degreed)For a linear equation in x the coefficient of y is zero.Correct answer is option 'A'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Which of the following is not true?a)The coefficients of x and y in a linear equation in x and y must be rational numbers.b)There’s only one set of values of x and y that satisfy a linear equation in x and y.c)A linear equation is an equation of first degreed)For a linear equation in x the coefficient of y is zero.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following is not true?a)The coefficients of x and y in a linear equation in x and y must be rational numbers.b)There’s only one set of values of x and y that satisfy a linear equation in x and y.c)A linear equation is an equation of first degreed)For a linear equation in x the coefficient of y is zero.Correct answer is option 'A'. Can you explain this answer?.
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