Pair Of Linear Equations In Two Variables Test

Pair Of Linear Equations In Two Variables

This is Pair of Linear Equations in Two Variables Test-02 for CBSE class 10 Maths.. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
If a pair of linear equation is consistent, then the lines will be
  • A
    intersecting or coincident
    Correct
  • B
    always intersecting
  • C
    always coincident
  • D
    parallel
2
The pair of equations x = a and y = b graphically represents lines which are
  • A
    coincident
  • B
    intersecting at (a, b)
    Correct
  • C
    parallel
  • D
    intersecting at (b, a)
3
The number of solutions do two linear equations representing intersecting lines is/are
  • A
    1
    Correct
  • B
    2
  • C
    \(\infty \)
  • D
    0
4
The number of solutions do two linear equations representing parallel lines is/are
  • A
    2
  • B
    0
    Correct
  • C
    \(\infty \)
  • D
    1
5
The number of solutions do two linear equations representing coincident lines is/are \(\infty \)
  • A
    2
    Correct
  • B
    1
  • C
    5
  • D
    0
6
The area of the triangle formed by the lines 2x + y = 6, 2x – y + 2 = 0 and the x – axis is
  • A
    15sq. units
  • B
    12sq. units
  • C
    8sq. units
    Correct
  • D
    10sq. units
7
The vertices of the triangle formed by the lines x – y + 1 = 0, 3x + 2y – 12 = 0 and the x – axis are
  • A
    (2, 3), (0, – 1) and (4, 0)
  • B
    (2, 3), ( – 1, 0) and (0, 4)
  • C
    (2, 3), ( – 1, 0) and (4, 0)
    Correct
  • D
    (2, 3), (0, – 1) and (0, 4)
8
One equation of a pair of dependent linear equations is – 5x + 7y = 2, then the second equation can be
  • A
    10x + 14y + 4 = 0
  • B
    – 10x + 14y + 4 = 0
  • C
    10x – 14y = – 4
    Correct
  • D
    – 10x – 14y + 4 = 0
9
One equation of a pair of inconsistent linear equations is 2x – 3y = 4, then the second equation can be
  • A
    6x – 9y = 12
  • B
    4x – 6y = 9
    Correct
  • C
    4x – 6y = 8
  • D
    3x – 2y = 4
10
The area of the triangle formed by 2x – y + 6 = 0, 4x + 5y – 16 = 0 and the x – axis is
  • A
    12sq. units
  • B
    14sq. units
    Correct
  • C
    15sq. units
  • D
    16sq. units
11
The area of the triangle formed by x + 3y = 6, 2x – 3y = 12 and the y – axis is
  • A
    15sq. units
  • B
    12sq. units
  • C
    16sq. units
  • D
    18sq. units
    Correct
12
The lines represented by 3x + y – 12 = 0 and x – 3y + 6 = 0 intersects the x – axis at
  • A
    (6, 0) and (4, 0)
  • B
    (6, 0) and ( – 4, 0)
  • C
    ( – 6, 0) and ( – 4, 0)
  • D
    ( – 6, 0) and (4, 0)
    Correct
13
The lines represented by 3x + y – 12 = 0 and x – 3y + 6 = 0 intersects the y – axis at
  • A
    (0, – 2) and (0, – 12)
  • B
    (0, 2) and (0, – 12)
  • C
    (0, – 2) and (0, 12)
  • D
    (0, 2) and (0, 12)
    Correct
14
The area of the triangle formed by the line \(\frac{x}{a} + \frac{y}{b} = 1\) with the co – ordinate axes is
  • A
    \(\frac{1}{4}ab\) sq. units
  • B
    2\(ab\) sq. units
  • C
    \(ab\) sq. units
  • D
    \(\frac{1}{2}ab\) sq. units
    Correct
15
The area of the triangle formed by y = x, x = 6 and y = 0 is
  • A
    9 sq. units
  • B
    18 sq. units
    Correct
  • C
    72 sq. units
  • D
    36 sq. unit