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Mathematics

Pair of Linear Equations in Two Variables

574+ practice questions available

Sample Practice Questions

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1
Medium

Solve by cross-multiplication: x + 3y - 4 = 0, 2x + y - 3 = 0. Find x + y.

A1
B2
C3
D4
2
Easy

The graph of the equations x - 2y = 4 and 3x - 6y = 12 will be:

ATwo intersecting lines
BTwo parallel lines
CTwo coincident lines
DTwo perpendicular lines
3
Easy

The pair of linear equations 3x + 2y = 5 and 6x + 4y = 10 is:

AConsistent with unique solution
BConsistent with infinitely many solutions
CInconsistent
DNone of these
4
Medium

Assertion (A): The system 2x + 3y = 7 and 4x + 6y = 14 has a unique solution. Reason (R): The system is consistent because a₁/a₂ = b₁/b₂ = c₁/c₂.

ABoth A and R are true and R is the correct explanation of A
BBoth A and R are true but R is NOT the correct explanation of A
CA is true but R is false
DA is false but R is true
5
Medium

Aruna has only \(\text{Re } 1\) and \(\text{Rs } 2\) coins with her. If the total number of coins she has is 50 and the amount of money with her is \(\text{Rs } 75\), then the number of \(\text{Re } 1\) and \(\text{Rs } 2\) coins are, respectively:

A35 and 15
B35 and 20
C15 and 35
D25 and 25

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