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1.	Number of solutions of the equation x+0y-4=0 are?(a) One(b) Three(c) Infinite(d) TwoI had been asked this question by my school teacher while I was bunking the class.The origin of the question is Equations of Lines Parallel to x-axis and y-axis topic in division Linear Equations in Two Variables of Mathematics – Class 9
Answer» Right option is (c) Infinite The explanation: Since the GIVEN equation is in two variables x and y and coefficient of y is 0, solutions of this equation are: (x, y) = (4, 0), (4, 1), (4, 2), …… (4, r) where r is any REAL number. You can SEE that solution only have to SATISFY the value of x and it true for any real value of y. Thus the given equation has infinite solutions.

2.	What are the number of solutions of linear equation 2x+4y=12?(a) One(b) Two(c) Three(d) InfiniteThis question was addressed to me in homework.My doubt is from Linear Equations Solutions topic in chapter Linear Equations in Two Variables of Mathematics – Class 9
Answer» The correct ANSWER is (d) Infinite Easy explanation: To find the solution, we can select arbitrary value of EITHER x or y and we will get the APPROPRIATE value of the other variable. Suppose we take value of x=0, then we get 2(0) + 4y=12 y=12/4 Therefore, y=4 Now, for x = 1, we get 2(1) + 4y = 12 4y=12-2=10 Therefore, y = 10/4 y = 2.5 Likewise, we can get infinite solutions by taking arbitrary values of either x or y.

3.	Number of solutions of the equation x-4=0 are?(a) Infinite(b) Three(c) Two(d) OneI had been asked this question in an interview for internship.My doubt stems from Equations of Lines Parallel to x-axis and y-axis in section Linear Equations in Two Variables of Mathematics – Class 9
Answer» The correct answer is (d) ONE To explain: Since the GIVEN equation x-4=0 is only in one variable, i.e. x, it has only one SOLUTION and that is x=4 and it is INDEPENDENT of value of y.

4.	Which of the following is the solution for 2x+4y=12?(a) x=2, y=2(b) x=1, y=0(c) x=3, y=1(d) x=-1, y=4The question was posed to me in final exam.My question is from Linear Equations Solutions in portion Linear Equations in Two Variables of Mathematics – Class 9
Answer» Correct answer is (a) x=2, y=2 The BEST I can explain: To find the solution of GIVEN equation, put the respective values of x and y in the given equation. If it SATISFIES the equation, it is the solution of given equation. Let’s check the values given in option a, which are x=2,y=2. 2(2) + 4(2) = 4 + 8 = 12 Which satisfies the equation 2x+4y=12 Hence, it is the solution of the given equation.

5.	Find the solution for the linear equation 2.5x=5?(a) x=-2(b) x=5(c) x=3(d) x=2This question was posed to me by my college professor while I was bunking the class.This is a very interesting question from Linear Equations in Two Variables topic in section Linear Equations in Two Variables of Mathematics – Class 9
Answer» CORRECT choice is (d) x=2 The explanation is: 2.5x=5 We KNOW that equations is not AFFECTED by dividing the same non-zero number both sides. Hence, dividing the EQUATION by 2.5 both sides. Therefore x=5/2.5 Hence, x = 2

6.	Which of the following is the correct way to represent the equation 3x=9 in ax+by+c = 0 form?(a) 3x = -0y + 9(b) 3x + 0y = 9(c) 3x + 0y – 9 = 0(d) 3x + 0y = 9This question was posed to me during an online interview.My question is from Linear Equations in Two Variables topic in chapter Linear Equations in Two Variables of Mathematics – Class 9
Answer» The correct option is (c) 3X + 0y – 9 = 0 Explanation: In ax + by + c = 0, a, b and c are NUMBERS and a, b≠0 while X and y are variables. Given EQUATION is 3x=9. If we want it to REPRESENT in the ax+by+c=0 form, we can write 3x + 0y – 9 = 0 where a = 3, b = 0 and c = -9.

7.	How many solutions does a linear equation have?(a) One(b) Two(c) Three(d) FourThe question was asked in an online interview.Asked question is from Linear Equations in Two Variables topic in portion Linear Equations in Two Variables of Mathematics – Class 9
Answer» The correct choice is (a) ONE Best EXPLANATION: Let’s understand this by an example: Suppose we WANT to find the SOLUTION for 9x-3 = 0 9x-3 = 0 9x = 3 Therefore x = 1/3 We can see that this linear equation has only one solution. i.e. x = 1/3 It MEANS that there is only one number which satisfies the given equation.

8.	Linear equations are of __________ form.(a) ax^2+bx+c = 0(b) ax+by+c = 0(c) x^2+y^2 = a^2(d) x^2-y^2 = a^2I had been asked this question by my college professor while I was bunking the class.Query is from Linear Equations in Two Variables topic in section Linear Equations in Two Variables of Mathematics – Class 9
Answer» Correct choice is (b) ax+by+c = 0 Easy explanation: LINEAR equations of two VARIABLES are generally DENOTED by ax+by+c = 0. Generally, x and y are used as variables HOWEVER, other letters can be used instead of x and y.