The lines 5x-7y=13 and 10x-14y=15 are inconsistent.(a) True(b) FalseThe question was posed to me during an interview.I'd like to ask this question from Solution of Two Linear Equations in Two Variables in Different Methods in portion Pair of Linear Equations in Two Variables of Mathematics – Class 10

The lines 5x-7y=13 and 10x-14y=15 are inconsistent.(a) True(b) FalseTh

1.	The lines 5x-7y=13 and 10x-14y=15 are inconsistent.(a) True(b) FalseThe question was posed to me during an interview.I'd like to ask this question from Solution of Two Linear Equations in Two Variables in Different Methods in portion Pair of Linear Equations in Two Variables of Mathematics – Class 10
Answer» CORRECT choice is (a) True For explanation I would say: A system of linear equations is SAID to be inconsistent if it has no solution at all. The given equations are 5x-7y=13 and 10x-14y=15 Here, a1=5, b1=-7, c1=-13 and a2=10, b2=-14, c2=-15 Now, \(\frac {a_1}{a_2} = \frac {5}{10}=\frac {1}{2}, \frac {b_1}{b_2} =\frac {-7}{-14}=\frac {1}{2}, \frac {c_1}{c_2} =\frac {-13}{-15}\) CLEARLY, \(\frac {a_1}{a_2} =\frac {b_1}{b_2} \ne \frac {c_1}{c_2}\) Hence, it will have no solution. The given equations are inconsistent.

Discussion

No Comment Found

Related InterviewSolutions

The sum of a two digit number and the number obtained by reversing the order of the digits is 187. If the digits differ by 1, then what will be the number?(a) 67(b) 54(c) 89(d) 67I have been asked this question during an online interview.Enquiry is from Solution of Two Linear Equations in Two Variables in Different Methods in division Pair of Linear Equations in Two Variables of Mathematics – Class 10
What will be the value of k, if the lines given by 3x+ky-4 and 5x+(9+k)y+41 represent two lines intersecting at a point?(a) k≠\(\frac {7}{2}\)(b) k≠\(\frac {27}{8}\)(c) k=\(\frac {27}{2}\)(d) k≠\(\frac {27}{2}\)I had been asked this question in an interview for job.The origin of the question is Solution of Two Linear Equations in Two Variables in Different Methods topic in section Pair of Linear Equations in Two Variables of Mathematics – Class 10
The lines 5x-7y=13 and 10x-14y=15 are inconsistent.(a) True(b) FalseThe question was posed to me during an interview.I'd like to ask this question from Solution of Two Linear Equations in Two Variables in Different Methods in portion Pair of Linear Equations in Two Variables of Mathematics – Class 10
The lines 2x+5y=17 and 5x+3y=14 are consistent.(a) False(b) TrueI got this question in an interview.The question is from Solution of Two Linear Equations in Two Variables in Different Methods topic in portion Pair of Linear Equations in Two Variables of Mathematics – Class 10
What will be the value of k, if the lines given by x+ky+3 and 2x+(k+2)y+6 are coincident?(a) 4(b) 2(c) 6(d) 8The question was asked during an interview for a job.My doubt is from Solution of Two Linear Equations in Two Variables in Different Methods in chapter Pair of Linear Equations in Two Variables of Mathematics – Class 10
What will be the value of k, if the lines given by (5+k)x-3y+15 and (k-1)x-y+19 are parallel?(a) 5(b) 4(c) 6(d) 7I had been asked this question during an interview.The query is from Solution of Two Linear Equations in Two Variables in Different Methods in portion Pair of Linear Equations in Two Variables of Mathematics – Class 10
What will be the nature of the graph lines of the equations x+3y-2 and 2x-y+5?(a) Parallel(b) Coincident(c) Intersecting(d) Perpendicular to each otherThis question was addressed to me by my college professor while I was bunking the class.My question is from Solution of Two Linear Equations in Two Variables in Different Methods topic in chapter Pair of Linear Equations in Two Variables of Mathematics – Class 10
10 years ago, a woman was thrice the age of her daughter. Two years later her daughter’s age will be 30 more than the age of the mother. What are the present ages of the woman and the daughter?(a) 70 years, 40 years(b) 60 years, 40 years(c) 55 years, 25 years(d) 45 years, 20 yearsI got this question in an online interview.This is a very interesting question from Solution of Two Linear Equations in Two Variables in Different Methods in division Pair of Linear Equations in Two Variables of Mathematics – Class 10
In a piggy bank the total number of coins of Rs. 5 and Rs. 1 is 100. If the total coins amount is 300, then what is the number of coins of each denomination?(a) 30, 70(b) 50, 50(c) 45, 55(d) 60, 40The question was asked in an internship interview.This intriguing question originated from Solution of Two Linear Equations in Two Variables in Different Methods topic in section Pair of Linear Equations in Two Variables of Mathematics – Class 10
What will be the nature of the graph lines of the equations 5x-2y+9 and 15x-6y+1?(a) Parallel(b) Coincident(c) Intersecting(d) Perpendicular to each otherI had been asked this question in unit test.The above asked question is from Solution of Two Linear Equations in Two Variables in Different Methods in chapter Pair of Linear Equations in Two Variables of Mathematics – Class 10

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment