Pair Of Linear Equations In Two Variables Test-01

Pair Of Linear Equations In Two Variables Test-01

This is Pair of Linear Equations in Two Variables Test-01 for CBSE class 10 Maths.. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
Every linear equation in two variables has
  • A
    an infinite number of solutions
    Correct
  • B
    no solution
  • C
    two solutions
  • D
    one solution
2
Ten students of class X took part in Mathematics quiz. The number of girls is 4 more than that of the boys. The algebraic representation of the above situation is
  • A
    x + y = 10 and x – y = 4
    Correct
  • B
    x + y = – 10 and x – y = – 4
  • C
    x – y = 10 and x + y = 4
  • D
    none of these
3
A system of two linear equations in two variables is inconsistent, if their graphs
  • A
    coincide
  • B
    cut the x – axis
  • C
    do not intersect at any point
    Correct
  • D
    intersect only at a point
4
A system of two linear equations in two variables has no solution, if their graphs
  • A
    coincide
  • B
    intersect only at a point
  • C
    cut the x – axis
  • D
    do not intersect at any point
    Correct
5
A system of two linear equations in two variables has a unique solution, if their graphs
  • A
    coincide
  • B
    do not intersect at any point
  • C
    cut the x – axis
  • D
    intersect only at a point
    Correct
6
A system of two linear equations in two variables has infinitely many solutions, if their graphs
  • A
    coincide
    Correct
  • B
    do not intersect at any point
  • C
    cut the x – axis
  • D
    intersect only at a point
7
A system of two linear equations in two variables is consistent, if their graphs
  • A
    cut the x – axis
  • B
    coincide
  • C
    intersect only at a point
    Correct
  • D
    do not intersect at any point
8
A system of two linear equations in two variables is dependentconsistent, if their graphs
  • A
    intersect only at a point
  • B
    coincide
    Correct
  • C
    cut the x – axis
  • D
    do not intersect at any point
9
The lines representing the pair of equations 5x – 4y + 8 = 0 and 7x + 6y – 9 = 0
  • A
    intersect at a point
    Correct
  • B
    are parallel
  • C
    none of these
  • D
    are coincident
10
The lines representing the pair of equations 9x + 3y + 12 = 0 and 18x + 6y + 24 = 0
  • A
    are parallel
  • B
    none of these
  • C
    are coincident
    Correct
  • D
    intersect at a point
11
The lines representing the pair of equations 6x – 3y + 10 = 0 and 2x – y + 9 = 0
  • A
    intersect at a point
  • B
    none of these
  • C
    are coincident
  • D
    are parallel
    Correct
12
The pair of linear equations 3x + 2y = 5 and 2x – 3y = 7 are
  • A
    inconsistent
  • B
    none of these
  • C
    consistent
    Correct
  • D
    dependent(consistent)
13
The pair of linear equations 5x – 3y = 11 and – 10x + 6y = – 22 are
  • A
    none of these
  • B
    consistent
  • C
    dependent(consistent)
    Correct
  • D
    inconsistent
14
The pair of linear equations 4x – 6y = 9 and 2x – 3y = 8 are
  • A
    none of these
  • B
    inconsistent
    Correct
  • C
    dependent(consistent)
  • D
    consistent
15
The lines representing the pair of equations x + 3y = 6 and 2x – 3y = 12 intersect at
  • A
    (1, 6)
  • B
    (0, 6)
  • C
    (6, 1)
  • D
    (6, 0)
    Correct