Class 10 Mathematics Chapter Linear Equations in Two Variables - Free

CBSE & NCERT Based Class 10 Mathematics Chapter Linear Equations in Two Variables.

Class 10th
20 Questions
20.00 Marks
Pass: 7.00

Questions

Showing all 20 questions
Q1 • MCQ • 1 marks
The solution of x + y = 5 and x − y = 1 is:
A. 2,3
B. 3,2
C. 1,4
D. 4,1
Q2 • MCQ • 1 marks
For a₁/a₂ ≠ b₁/b₂, the pair of equations has:
A. One solution
B. No solution
C. Infinite solutions
D. Cannot determine
Q3 • MCQ • 1 marks
For a₁/a₂ = b₁/b₂ ≠ c₁/c₂, the pair has:
A. One solution
B. No solution
C. Infinite solutions
D. Two solutions
Q4 • MCQ • 1 marks
For a₁/a₂ = b₁/b₂ = c₁/c₂, the pair has:
A. One solution
B. No solution
C. Infinite solutions
D. Two solutions
Q5 • MCQ • 1 marks
Solve: 2x + y = 5, y = 1
A. x=4
B. x=1
C. x=3
D. x=2
Q6 • MCQ • 1 marks
Cross-multiplication method is used for:
A. Solving pair of linear equations
B. Factoring
C. Integration
D. Geometry
Q7 • MCQ • 1 marks
The equations 5x+10y=20 and x+2y=4 are:
A. Coincident
B. Parallel
C. Intersecting
D. Perpendicular
Q8 • MCQ • 1 marks
A unique solution means the lines:
A. Coincide
B. Are parallel
C. Intersect at one point
D. Do not meet
Q9 • MCQ • 1 marks
The solution of x + y = 17 and x − y = 5 is:
A. 11,6
B. 10,7
C. 9,8
D. 12,5
Q10 • MCQ • 1 marks
A pair of linear equations can be solved by:
A. Graphical method
B. Substitution method
C. Elimination method
D. All of these
Q11 • MCQ • 1 marks
The solution of x + y = 21 and x − y = 9 is:
A. 15,6
B. 14,7
C. 13,8
D. 12,9
Q12 • MCQ • 1 marks
Which method involves plotting lines?
A. Elimination
B. Substitution
C. Graphical
D. Cross multiplication
Q13 • MCQ • 1 marks
The equations y = x + 2 and y = x − 5 are:
A. Coincident
B. Parallel
C. Intersecting
D. Same line
Q14 • MCQ • 1 marks
The solution of 2x + y = 15 and x + y = 10 is:
A. 5,5
B. 6,4
C. 7,3
D. 4,6
Q15 • MCQ • 1 marks
Two numbers differ by 6 and sum is 30:
A. 16, 14
B. 15, 15
C. 20, 10
D. 18, 12
Q16 • MCQ • 1 marks
Total of two ages is 50. One is 10 years older. Ages:
A. 35, 15
B. 25, 25
C. 40, 10
D. 30, 20
Q17 • MCQ • 1 marks
A pair of linear equations in two variables may have:
A. One solution
B. No solution
C. Infinitely many solutions
D. All of these
Q18 • MCQ • 1 marks
The solution of x + y = 32 and x − y = 8 is:
A. 20,12
B. 18,14
C. 16,16
D. 22,10
Q19 • MCQ • 1 marks
The pair 3x + y = 16 and x + y = 8 has solution:
A. 4,4
B. 3,5
C. 5,3
D. 2,6
Q20 • MCQ • 1 marks
If a₁/a₂ ≠ b₁/b₂, the system is:
A. Inconsistent
B. Dependent
C. Consistent and independent
D. Parallel

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