Read and download free pdf of CBSE Class 10 Mathematics Pair of Linear Equation In Two Variables Worksheet Set B. Download printable Mathematics Class 10 Worksheets in pdf format, CBSE Class 10 Mathematics Chapter 3 Linear Equations Worksheet has been prepared as per the latest syllabus and exam pattern issued by CBSE, NCERT and KVS. Also download free pdf Mathematics Class 10 Assignments and practice them daily to get better marks in tests and exams for Class 10. Free chapter wise worksheets with answers have been designed by Class 10 teachers as per latest examination pattern
Chapter 3 Linear Equations Mathematics Worksheet for Class 10
Class 10 Mathematics students should refer to the following printable worksheet in Pdf in Class 10. This test paper with questions and solutions for Class 10 Mathematics will be very useful for tests and exams and help you to score better marks
Class 10 Mathematics Chapter 3 Linear Equations Worksheet Pdf
Multiple Choice Questions (MCQs)
Choose the correct answer from the given options:
Question. The pair of linear equations 3x/2 + 5y/3 = 7 and 9x + 10y = 14 is
(a) consistent
(b) inconsistent
(c) consistent with one solution
(d) consistent with many solutions
Answer : B
Question. The value of k for which the system of linear equations x + 2y = 3, 5x + ky + 7 = 0 is inconsistent is
(a) −14/3
(b) 2/5
(c) 5
(d) 10
Answer : D
Question. If a pair of linear equations is consistent, then the line represented by them are
(a) parallel
(b) intersecting or coincident
(c) always coincident
(d) always intersecting
Answer : B
Question. The value of k for which the system of equations kx + 4y = k – 4, 16x + ky = k have infinite number of solutions is
(a) k = 2
(b) k = 4
(c) k = 6
(d) k = 8
Answer : D
Question. The value of k for which the system of linear equations 3x + y = 1, (2k –1)x + (k –1)y = 2k + 1 have no solution is
(a) k = 2
(b) k = 4
(c) k = 6
(d) k = 8
Answer : A
Question. If the equations kx – 2y = 3 and 3x + y = 5 represent two intersecting lines at unique point, then the value of k is
(a) Only 4
(b) Only 5
(c) Only 6
(d) Any number other than –6
Answer : D
Question. The value of k for which the given system has unique solution 2x + 3y – 5 = 0, kx – 6y – 8 = 0 is
(a) k = 2
(b) k ≠ 4
(c) k = 4
(d) k ≠ 4
Answer : D
Question. For what value of k, the following system of equations have infinite solutions: [Imp.]
2x – 3y = 7, (k + 2)x – (2k + 1)y = 3 (2k – 1)?
(a) k = 2
(b) k = 3
(c) k = 4
(d) k = 8
Answer : C
Question. The value of m for which the pair of linear equations 2x + 3y – 7 = 0 and (m – 1) x + (m + 1) y = (3m – 1) has infinitely many solutions is
(a) 5
(b) 8
(c) – 5
(d) 8
Answer : A
v For what values of p, the pair of equations 4x + py +8 =0 and 2x +2y +2 = 0 have unique solution?
(a) p = 4
(b) p ≠ 4
(c) p = 7
(d) p ≠ 7
Answer : B
vWhat type of straight lines will be represented by the system of equations 2x + 3y = 5 and 4x + 6y = 7?
(a) Intersecting
(b) Parallel
(c) Conincident
(d) None of these
Answer : B
Question. For what value of p, the following pair of linear equations have infinitely many solutions?
(p – 3)x + 3y = p, px + py = 12
(a) 4
(b) 6
(c) 9
(d) 11
Answer : B
Question. The value of k for which the following pair of linear equations have infinitely many solutions:
2x + 3y = 7, (k – 1)x + (k + 2)y = 3k is
(a) 2
(b) 4
(c) 7
(d) 9
Answer : C
Question. The value(s) of k for which the pair of linear equations kx + y = k2 and x + ky = 1 have infinitely many solutions is
(a) 1
(b) 2
(c) 3
(d) 4
Answer : A
Assertion-Reason Type Questions
In the following questions, a statement of assertion (A) is followed by a statement reason (R). Choose the correct choice as:
(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
(b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of
assertion (A).
(c) Assertion (A) is true but reason (R) is false.
(d) Assertion (A) is false but reason (R) is true.
Question. Assertion (A): Pair of linear equations x + y = 14, x – y = 4 is consistent.
Reason (R): By comparing a1/a2 and b1/b2 if we get a1/a2 ≠ b1/b2, then given system of equations is consistent.
Answer : A
Question. Assertion (A): For k = 6, the system of linear equations x + 2y + 3 = 0 and 3x + ky + 6 = 0 is inconsistent.
Reason (R): The system of linear equations a1 x + b1 y + c1 = 0 and a2 x + b2 y + c2 = 0 is inconsistent if a1/a2 = b1/b2 = c1/c2
Answer : C
PAIRS OF LINEAR EQUATIONS IN TWO VARIABLES
Please click on below link to download CBSE Class 10 Mathematics Pair of Linear Equation In Two Variables Worksheet Set B
CBSE Class 10 Mathematics Probability And Constructions Worksheet Set A |
CBSE Class 10 Maths Probabilty Worksheet |
Chapter 3 Linear Equations CBSE Class 10 Mathematics Worksheet
The above practice worksheet for Chapter 3 Linear Equations has been designed as per the current syllabus for Class 10 Mathematics released by CBSE. Students studying in Class 10 can easily download in Pdf format and practice the questions and answers given in the above practice worksheet for Class 10 Mathematics on a daily basis. All the latest practice worksheets with solutions have been developed for Mathematics by referring to the most important and regularly asked topics that the students should learn and practice to get better scores in their examinations. Studiestoday is the best portal for Printable Worksheets for Class 10 Mathematics students to get all the latest study material free of cost. Teachers of studiestoday have referred to the NCERT book for Class 10 Mathematics to develop the Mathematics Class 10 worksheet. After solving the questions given in the practice sheet which have been developed as per the latest course books also refer to the NCERT solutions for Class 10 Mathematics designed by our teachers. After solving these you should also refer to Class 10 Mathematics MCQ Test for the same chapter. We have also provided a lot of other Worksheets for Class 10 Mathematics which you can use to further make yourself better in Mathematics.
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